56118268800 has 768 divisors, whose sum is σ = 226206950400. Its totient is φ = 13473792000.

The previous prime is 56118268781. The next prime is 56118268831. The reversal of 56118268800 is 886281165.

56118268800 is a `hidden beast` number, since 5 + 611 + 8 + 26 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130204585 + ... + 130205015.

It is an arithmetic number, because the mean of its divisors is an integer number (294540300).

Almost surely, 2^56118268800 is an apocalyptic number.

56118268800 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 56118268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113103475200).

56118268800 is an abundant number, since it is smaller than the sum of its proper divisors (170088681600).

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

56118268800 is a wasteful number, since it uses less digits than its factorization.

56118268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 56118268800 in words is "fifty-six billion, one hundred eighteen million, two hundred sixty-eight thousand, eight hundred".