56653435665 has 64 divisors (see below), whose sum is σ = 105145620480. Its totient is φ = 28887883200.

The previous prime is 56653435651. The next prime is 56653435759.

56653435665 is a `hidden beast` number, since 56 + 6 + 534 + 3 + 56 + 6 + 5 = 666.

56653435665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56653435665 - 2⁸ = 56653435409 is a prime.

It is a super-2 number, since 2×56653435665² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12178590 + ... + 12183240.

It is an arithmetic number, because the mean of its divisors is an integer number (1642900320).

Almost surely, 2^56653435665 is an apocalyptic number.

It is an amenable number.

56653435665 is a deficient number, since it is larger than the sum of its proper divisors (48492184815).

56653435665 is a wasteful number, since it uses less digits than its factorization.

56653435665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8605 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 54.

The spelling of 56653435665 in words is "fifty-six billion, six hundred fifty-three million, four hundred thirty-five thousand, six hundred sixty-five".