56776267765 has 32 divisors (see below), whose sum is σ = 78812870400. Its totient is φ = 38459904000.

The previous prime is 56776267703. The next prime is 56776267817.

56776267765 is nontrivially palindromic in base 10.

56776267765 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 56776267765 - 2⁹ = 56776267253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56776267697 and 56776267706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569330 + ... + 1605100.

It is an arithmetic number, because the mean of its divisors is an integer number (2462902200).

Almost surely, 2^56776267765 is an apocalyptic number.

It is an amenable number.

56776267765 is a deficient number, since it is larger than the sum of its proper divisors (22036602635).

56776267765 is a wasteful number, since it uses less digits than its factorization.

56776267765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36333.

The product of its digits is 155584800, while the sum is 64.

The spelling of 56776267765 in words is "fifty-six billion, seven hundred seventy-six million, two hundred sixty-seven thousand, seven hundred sixty-five".