56365566516864 has 384 divisors, whose sum is σ = 180389898823680. Its totient is φ = 16750035118080.

The previous prime is 56365566516839. The next prime is 56365566516871. The reversal of 56365566516864 is 46861566556365.

56365566516864 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 5 + 566 + 51 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56365566516792 and 56365566516801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189183499 + ... + 189481205.

It is an arithmetic number, because the mean of its divisors is an integer number (469765361520).

Almost surely, 2^{56365566516864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56365566516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90194949411840).

56365566516864 is an abundant number, since it is smaller than the sum of its proper divisors (124024332306816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56365566516864 is a wasteful number, since it uses less digits than its factorization.

56365566516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298028 (or 298013 counting only the distinct ones).

The product of its digits is 2799360000, while the sum is 72.

The spelling of 56365566516864 in words is "fifty-six trillion, three hundred sixty-five billion, five hundred sixty-six million, five hundred sixteen thousand, eight hundred sixty-four".