56268554160 has 960 divisors, whose sum is σ = 229809291264. Its totient is φ = 11276697600.

The previous prime is 56268554129. The next prime is 56268554179. The reversal of 56268554160 is 6145586265.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 294599665 + ... + 294599855.

Almost surely, 2^56268554160 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 56268554160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114904645632).

56268554160 is an abundant number, since it is smaller than the sum of its proper divisors (173540737104).

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

56268554160 is a wasteful number, since it uses less digits than its factorization.

56268554160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 56268554160 in words is "fifty-six billion, two hundred sixty-eight million, five hundred fifty-four thousand, one hundred sixty".