56562936565824 has 224 divisors, whose sum is σ = 179393792941440. Its totient is φ = 17373063665664.

The previous prime is 56562936565823. The next prime is 56562936565829. The reversal of 56562936565824 is 42856563926565.

56562936565824 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 2 + 9 + 36 + 5 + 6 + 582 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56562936565823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10411054 + ... + 14883410.

It is an arithmetic number, because the mean of its divisors is an integer number (800865147060).

Almost surely, 2^{56562936565824} is an apocalyptic number.

56562936565824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56562936565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89696896470720).

56562936565824 is an abundant number, since it is smaller than the sum of its proper divisors (122830856375616).

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

56562936565824 is a wasteful number, since it uses less digits than its factorization.

56562936565824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472954 (or 4472938 counting only the distinct ones).

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

The spelling of 56562936565824 in words is "fifty-six trillion, five hundred sixty-two billion, nine hundred thirty-six million, five hundred sixty-five thousand, eight hundred twenty-four".