(I don’t know if you meant total how many or different types how many.) I saw somewhere that it said they have more than 90. Total different types is 10.
The names are:
Hubble Space Telescope (HST)
Spitzer Space Telescope
Herschel
Galaxy Evolution Explorer (GALEX)
XMM/Newton
Chandra
Jansky Very Large Array (J-VLA)
Subaru
Keck
ALMA