There’s a number called the Eddington Number, named after the astrophysicist Arthur Eddington, that is an estimate of the number of protons in the observable universe (and atoms are made up of protons, neutrons and electrons). The Eddington number (NEdd) is estimated to be around 1.57×10^79 protons i.e.:
15747724136275002577605653961181555468044717914527116709366231425076185631031296.
In terms of how many particles there are in the whole universe is impossible to say, because we don’t know how big the universe is!
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