56864055352320 has 1056 divisors, whose sum is σ = 206067008871360. Its totient is φ = 15035557478400.

The previous prime is 56864055352309. The next prime is 56864055352327. The reversal of 56864055352320 is 2325355046865.

56864055352320 is a `hidden beast` number, since 5 + 6 + 8 + 6 + 4 + 0 + 553 + 52 + 32 + 0 = 666.

56864055352320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56864055352320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56864055352327) by changing a digit.

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, 141805624120 + ... + 141805624520.

Almost surely, 2^{56864055352320} 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 56864055352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103033504435680).

56864055352320 is an abundant number, since it is smaller than the sum of its proper divisors (149202953519040).

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

56864055352320 is a wasteful number, since it uses less digits than its factorization.

56864055352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 56864055352320 in words is "fifty-six trillion, eight hundred sixty-four billion, fifty-five million, three hundred fifty-two thousand, three hundred twenty".