56351116800 has 1080 divisors, whose sum is σ = 232193198952. Its totient is φ = 13436928000.

The previous prime is 56351116751. The next prime is 56351116813. The reversal of 56351116800 is 861115365.

56351116800 is a `hidden beast` number, since 5 + 63 + 511 + 1 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 923788770 + ... + 923788830.

Almost surely, 2^56351116800 is an apocalyptic number.

56351116800 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 56351116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116096599476).

56351116800 is an abundant number, since it is smaller than the sum of its proper divisors (175842082152).

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

56351116800 is an frugal number, since it uses more digits than its factorization.

56351116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 56351116800 in words is "fifty-six billion, three hundred fifty-one million, one hundred sixteen thousand, eight hundred".