56357368800 has 144 divisors (see below), whose sum is σ = 183664963440. Its totient is φ = 15010467840.

The previous prime is 56357368741. The next prime is 56357368813. The reversal of 56357368800 is 886375365.

56357368800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2033436 + ... + 2060964.

It is an arithmetic number, because the mean of its divisors is an integer number (1275451135).

Almost surely, 2^56357368800 is an apocalyptic number.

56357368800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56357368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91832481720).

56357368800 is an abundant number, since it is smaller than the sum of its proper divisors (127307594640).

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

56357368800 is a wasteful number, since it uses less digits than its factorization.

56357368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28405 (or 28392 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 56357368800 in words is "fifty-six billion, three hundred fifty-seven million, three hundred sixty-eight thousand, eight hundred".