10^11
it is believed that there are about 10^11 galaxies in the universe containing 10^11 stars (in each galaxy).
But that’s really an estimate of number of galaxies and stars they might differ but till now it is believed to be accurate .
As there are numerous galaxies in our universe and all are moving far away (big bang theory ) .
Accurate number of galaxies as per me could only be measured when this universe collapses again after billions of years ( as per pulsating universe theory ).