82597655880 has 256 divisors, whose sum is σ = 291973248000. Its totient is φ = 20698251264.

The previous prime is 82597655879. The next prime is 82597655887. The reversal of 82597655880 is 8855679528.

82597655880 is a `hidden beast` number, since 8 + 2 + 5 + 9 + 76 + 558 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (82597655887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13197712 + ... + 13203968.

It is an arithmetic number, because the mean of its divisors is an integer number (1140520500).

Almost surely, 2^82597655880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82597655880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145986624000).

82597655880 is an abundant number, since it is smaller than the sum of its proper divisors (209375592120).

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

82597655880 is a wasteful number, since it uses less digits than its factorization.

82597655880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 82597655880 in words is "eighty-two billion, five hundred ninety-seven million, six hundred fifty-five thousand, eight hundred eighty".