56627872665 has 128 divisors (see below), whose sum is σ = 114831101952. Its totient is φ = 23188239360.

The previous prime is 56627872649. The next prime is 56627872687.

56627872665 is nontrivially palindromic in base 10.

56627872665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56627872665 - 2⁴ = 56627872649 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56627872599 and 56627872608.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22372450 + ... + 22374980.

It is an arithmetic number, because the mean of its divisors is an integer number (897117984).

Almost surely, 2^56627872665 is an apocalyptic number.

It is an amenable number.

56627872665 is an abundant number, since it is smaller than the sum of its proper divisors (58203229287).

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

56627872665 is a wasteful number, since it uses less digits than its factorization.

56627872665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039.

The product of its digits is 50803200, while the sum is 60.

The spelling of 56627872665 in words is "fifty-six billion, six hundred twenty-seven million, eight hundred seventy-two thousand, six hundred sixty-five".