86657875668 has 72 divisors (see below), whose sum is σ = 269602290048. Its totient is φ = 22854823488.

The previous prime is 86657875613. The next prime is 86657875673.

86657875668 is a `hidden beast` number, since 8 + 6 + 6 + 57 + 8 + 7 + 566 + 8 = 666.

86657875668 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86657875596 and 86657875605.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13222896 + ... + 13229447.

Almost surely, 2^86657875668 is an apocalyptic number.

It is an amenable number.

86657875668 is an abundant number, since it is smaller than the sum of its proper divisors (182944414380).

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

86657875668 is a wasteful number, since it uses less digits than its factorization.

86657875668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26452373 (or 26452368 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 86657875668 in words is "eighty-six billion, six hundred fifty-seven million, eight hundred seventy-five thousand, six hundred sixty-eight".