56365566516801 has 6 divisors (see below), whose sum is σ = 81416929413170. Its totient is φ = 37577044344528.

The previous prime is 56365566516767. The next prime is 56365566516839. The reversal of 56365566516801 is 10861566556365.

56365566516801 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 5 + 566 + 5 + 1 + 68 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52929640876176 + 3435925640625 = 7275276^2 + 1853625^2 .

It is not a de Polignac number, because 56365566516801 - 2⁶ = 56365566516737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56365566516871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3131420362036 + ... + 3131420362053.

Almost surely, 2^{56365566516801} is an apocalyptic number.

It is an amenable number.

56365566516801 is a deficient number, since it is larger than the sum of its proper divisors (25051362896369).

56365566516801 is a wasteful number, since it uses less digits than its factorization.

56365566516801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262840724095 (or 6262840724092 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 56365566516801 in words is "fifty-six trillion, three hundred sixty-five billion, five hundred sixty-six million, five hundred sixteen thousand, eight hundred one".