56957777775965 has 24 divisors (see below), whose sum is σ = 75148473168384. Its totient is φ = 41412428402400.

The previous prime is 56957777775959. The next prime is 56957777775971.

56957777775965 is nontrivially palindromic in base 10.

56957777775965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56957777775959) and next prime (56957777775971).

It is not a de Polignac number, because 56957777775965 - 2¹⁴ = 56957777759581 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10767317 + ... + 15160826.

It is an arithmetic number, because the mean of its divisors is an integer number (3131186382016).

Almost surely, 2^{56957777775965} is an apocalyptic number.

56957777775965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56957777775965 is a deficient number, since it is larger than the sum of its proper divisors (18190695392419).

56957777775965 is a wasteful number, since it uses less digits than its factorization.

56957777775965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25931801 (or 25931790 counting only the distinct ones).

The product of its digits is 214415302500, while the sum is 92.

The spelling of 56957777775965 in words is "fifty-six trillion, nine hundred fifty-seven billion, seven hundred seventy-seven million, seven hundred seventy-five thousand, nine hundred sixty-five".