What are the 5 unique qualities given to Prophet Muhammad, sallallaahu 'alayhi wa sallam? And what is the name and total number of Angels mentioned in the Qur'an?

All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.

The five attributes which are exclusive to the Prophet Muhammad are mentioned in the Hadeeth (narration) of Jaabir . He said, "The Prophet, sallallaahu ‘alayhi wa sallam, said:

"I have been given five things which were not given to any amongst the prophets before me: Allaah made me victorious by awe (by His frightening my enemies) for a distance of one month's journey; the earth has been made for me (and for my followers) a place for praying and a thing to perform Tayammum (dry ablution), therefore my followers can pray wherever the time of a prayer is due. War booty has been made Halaal (lawful) for me (and was not made so for anyone else).Every prophet used to be sent to his nation exclusively but I have been sent to all humankind, and I have been given the right of intercession (on the Day of Resurrection)."

These are just five special characteristics mentioned in this Hadeeth; other than these, there are many special characteristics of the Prophet which are mentioned in other narrations. As for your question about names of Angels, only the names of Jibreel (Gabriel), Meekaa'eel (Michael) and Maalik, the keeper of the Hellfire, are mentioned in the Quran.

Allaah Knows best.