83088768254772 has 48 divisors (see below), whose sum is σ = 225325473246720. Its totient is φ = 23337281154912.

The previous prime is 83088768254761. The next prime is 83088768254777. The reversal of 83088768254772 is 27745286788038.

83088768254772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 83088768254694 and 83088768254703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83088768254777) 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 15 ways as a sum of consecutive naturals, for example, 8382639138 + ... + 8382649049.

It is an arithmetic number, because the mean of its divisors is an integer number (4694280692640).

Almost surely, 2^{83088768254772} is an apocalyptic number.

It is an amenable number.

83088768254772 is an abundant number, since it is smaller than the sum of its proper divisors (142236704991948).

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

83088768254772 is a wasteful number, since it uses less digits than its factorization.

83088768254772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16765288260 (or 16765288258 counting only the distinct ones).

The product of its (nonzero) digits is 2023096320, while the sum is 75.

The spelling of 83088768254772 in words is "eighty-three trillion, eighty-eight billion, seven hundred sixty-eight million, two hundred fifty-four thousand, seven hundred seventy-two".