56756588565765 has 64 divisors (see below), whose sum is σ = 99149153725440. Its totient is φ = 27495265904640.

The previous prime is 56756588565707. The next prime is 56756588565797.

56756588565765 is nontrivially palindromic in base 10.

56756588565765 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 56756588565765 - 2¹⁶ = 56756588500229 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 63 ways as a sum of consecutive naturals, for example, 2509232626 + ... + 2509255244.

It is an arithmetic number, because the mean of its divisors is an integer number (1549205526960).

Almost surely, 2^{56756588565765} is an apocalyptic number.

56756588565765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56756588565765 is a deficient number, since it is larger than the sum of its proper divisors (42392565159675).

56756588565765 is a wasteful number, since it uses less digits than its factorization.

56756588565765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34722.

The product of its digits is 63504000000, while the sum is 84.

The spelling of 56756588565765 in words is "fifty-six trillion, seven hundred fifty-six billion, five hundred eighty-eight million, five hundred sixty-five thousand, seven hundred sixty-five".