56711846400 has 960 divisors, whose sum is σ = 217446653952. Its totient is φ = 12902400000.

The previous prime is 56711846377. The next prime is 56711846489. The reversal of 56711846400 is 464811765.

It is a tau number, because it is divible by the number of its divisors (960).

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, 798758365 + ... + 798758435.

Almost surely, 2^56711846400 is an apocalyptic number.

56711846400 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 56711846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108723326976).

56711846400 is an abundant number, since it is smaller than the sum of its proper divisors (160734807552).

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

56711846400 is a wasteful number, since it uses less digits than its factorization.

56711846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 56711846400 in words is "fifty-six billion, seven hundred eleven million, eight hundred forty-six thousand, four hundred".