56253864960000 has 2800 divisors, whose sum is σ = 227401067615040. Its totient is φ = 13801881600000.

The previous prime is 56253864959923. The next prime is 56253864960037. The reversal of 56253864960000 is 6946835265.

56253864960000 is a `hidden beast` number, since 5 + 6 + 2 + 538 + 6 + 49 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 556968959950 + ... + 556968960050.

Almost surely, 2^{56253864960000} is an apocalyptic number.

56253864960000 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 56253864960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113700533807520).

56253864960000 is an abundant number, since it is smaller than the sum of its proper divisors (171147202655040).

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

56253864960000 is an equidigital number, since it uses as much as digits as its factorization.

56253864960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 56253864960000 in words is "fifty-six trillion, two hundred fifty-three billion, eight hundred sixty-four million, nine hundred sixty thousand".