56991426307200 has 5184 divisors, whose sum is σ = 285229983565800. Its totient is φ = 10745531596800.

The previous prime is 56991426307169. The next prime is 56991426307213. The reversal of 56991426307200 is 270362419965.

56991426307200 is a `hidden beast` number, since 5 + 6 + 9 + 9 + 1 + 426 + 3 + 0 + 7 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27331900352064 + 29659525955136 = 5227992^2 + 5446056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 84182313262 + ... + 84182313938.

Almost surely, 2^{56991426307200} is an apocalyptic number.

56991426307200 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 56991426307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142614991782900).

56991426307200 is an abundant number, since it is smaller than the sum of its proper divisors (228238557258600).

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

56991426307200 is a wasteful number, since it uses less digits than its factorization.

56991426307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 56991426307200 in words is "fifty-six trillion, nine hundred ninety-one billion, four hundred twenty-six million, three hundred seven thousand, two hundred".