56359164960 has 1152 divisors, whose sum is σ = 245934662400. Its totient is φ = 12133545984.

The previous prime is 56359164947. The next prime is 56359164973. The reversal of 56359164960 is 6946195365.

56359164960 is a `hidden beast` number, since 5 + 6 + 3 + 591 + 6 + 49 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56359164947) and next prime (56359164973).

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

It is a junction number, because it is equal to n+sod(n) for n = 56359164897 and 56359164906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325775434 + ... + 325775606.

It is an arithmetic number, because the mean of its divisors is an integer number (213484950).

Almost surely, 2^56359164960 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 56359164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122967331200).

56359164960 is an abundant number, since it is smaller than the sum of its proper divisors (189575497440).

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

56359164960 is a wasteful number, since it uses less digits than its factorization.

56359164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 56359164960 in words is "fifty-six billion, three hundred fifty-nine million, one hundred sixty-four thousand, nine hundred sixty".