83088768268300 has 36 divisors (see below), whose sum is σ = 188141871805776. Its totient is φ = 31790485249600.

The previous prime is 83088768268267. The next prime is 83088768268301. The reversal of 83088768268300 is 386286788038.

It is not an unprimeable number, because it can be changed into a prime (83088768268301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18062773411 + ... + 18062778010.

It is an arithmetic number, because the mean of its divisors is an integer number (5226163105716).

Almost surely, 2^{83088768268300} is an apocalyptic number.

It is an amenable number.

83088768268300 is an abundant number, since it is smaller than the sum of its proper divisors (105053103537476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83088768268300 is a wasteful number, since it uses less digits than its factorization.

83088768268300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36125551458 (or 36125551451 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 67.

The spelling of 83088768268300 in words is "eighty-three trillion, eighty-eight billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, three hundred".