82968911986928 has 40 divisors (see below), whose sum is σ = 177836054656896. Its totient is φ = 37181970795200.

The previous prime is 82968911986889. The next prime is 82968911986949.

82968911986928 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 82968911986928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3319806326 + ... + 3319831317.

Almost surely, 2^{82968911986928} is an apocalyptic number.

82968911986928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82968911986928 is an abundant number, since it is smaller than the sum of its proper divisors (94867142669968).

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

82968911986928 is a wasteful number, since it uses less digits than its factorization.

82968911986928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639637733 (or 6639637727 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 86.

The spelling of 82968911986928 in words is "eighty-two trillion, nine hundred sixty-eight billion, nine hundred eleven million, nine hundred eighty-six thousand, nine hundred twenty-eight".