56037288384 has 672 divisors, whose sum is σ = 210888437760. Its totient is φ = 13801881600.

The previous prime is 56037288319. The next prime is 56037288421. The reversal of 56037288384 is 48388273065.

56037288384 is a `hidden beast` number, since 5 + 603 + 7 + 28 + 8 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 56037288384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72869952 + ... + 72870720.

It is an arithmetic number, because the mean of its divisors is an integer number (313822080).

Almost surely, 2^56037288384 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 56037288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105444218880).

56037288384 is an abundant number, since it is smaller than the sum of its proper divisors (154851149376).

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

56037288384 is a wasteful number, since it uses less digits than its factorization.

56037288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 56037288384 in words is "fifty-six billion, thirty-seven million, two hundred eighty-eight thousand, three hundred eighty-four".