56755036800 has 1536 divisors, whose sum is σ = 273196800000. Its totient is φ = 11147673600.

The previous prime is 56755036777. The next prime is 56755036813. The reversal of 56755036800 is 863055765.

56755036800 is a `hidden beast` number, since 5 + 67 + 5 + 503 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×56755036800² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 126402976 + ... + 126403424.

It is an arithmetic number, because the mean of its divisors is an integer number (177862500).

Almost surely, 2^56755036800 is an apocalyptic number.

56755036800 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 56755036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400000).

56755036800 is an abundant number, since it is smaller than the sum of its proper divisors (216441763200).

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

56755036800 is a wasteful number, since it uses less digits than its factorization.

56755036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56755036800 in words is "fifty-six billion, seven hundred fifty-five million, thirty-six thousand, eight hundred".