57656566565675 has 96 divisors (see below), whose sum is σ = 89406421194240. Its totient is φ = 35832687897600.

The previous prime is 57656566565651. The next prime is 57656566565693.

It is a happy number.

57656566565675 is nontrivially palindromic in base 10.

57656566565675 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 57656566565675 - 2¹⁶ = 57656566500139 is a prime.

It is a super-2 number, since 2×57656566565675² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57656566565675.

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 95 ways as a sum of consecutive naturals, for example, 927863207 + ... + 927925343.

It is an arithmetic number, because the mean of its divisors is an integer number (931316887440).

Almost surely, 2^{57656566565675} is an apocalyptic number.

57656566565675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57656566565675 is a deficient number, since it is larger than the sum of its proper divisors (31749854628565).

57656566565675 is a wasteful number, since it uses less digits than its factorization.

57656566565675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63621 (or 63616 counting only the distinct ones).

The product of its digits is 35721000000, while the sum is 80.

The spelling of 57656566565675 in words is "fifty-seven trillion, six hundred fifty-six billion, five hundred sixty-six million, five hundred sixty-five thousand, six hundred seventy-five".