56059436160 has 1152 divisors, whose sum is σ = 252752572800. Its totient is φ = 11179524096.

The previous prime is 56059436143. The next prime is 56059436177. The reversal of 56059436160 is 6163495065.

56059436160 is a `hidden beast` number, since 5 + 6 + 0 + 59 + 436 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (56059436143) and next prime (56059436177).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129467304 + ... + 129467736.

It is an arithmetic number, because the mean of its divisors is an integer number (219403275).

Almost surely, 2^56059436160 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 56059436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126376286400).

56059436160 is an abundant number, since it is smaller than the sum of its proper divisors (196693136640).

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

56059436160 is a wasteful number, since it uses less digits than its factorization.

56059436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 56059436160 in words is "fifty-six billion, fifty-nine million, four hundred thirty-six thousand, one hundred sixty".