56456183570160 has 320 divisors, whose sum is σ = 202507378698240. Its totient is φ = 12867034752000.

The previous prime is 56456183570119. The next prime is 56456183570173. The reversal of 56456183570160 is 6107538165465.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 56456183570160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2275075 + ... + 10866845.

It is an arithmetic number, because the mean of its divisors is an integer number (632835558432).

Almost surely, 2^{56456183570160} 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 56456183570160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101253689349120).

56456183570160 is an abundant number, since it is smaller than the sum of its proper divisors (146051195128080).

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

56456183570160 is a wasteful number, since it uses less digits than its factorization.

56456183570160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591948 (or 8591942 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 56456183570160 in words is "fifty-six trillion, four hundred fifty-six billion, one hundred eighty-three million, five hundred seventy thousand, one hundred sixty".