56271753216 has 208 divisors, whose sum is σ = 190529212800. Its totient is φ = 16077422592.

The previous prime is 56271753173. The next prime is 56271753271. The reversal of 56271753216 is 61235717265.

It is a happy number.

56271753216 is a `hidden beast` number, since 5 + 627 + 1 + 7 + 5 + 3 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737800 + ... + 810488.

Almost surely, 2^56271753216 is an apocalyptic number.

56271753216 is a gapful number since it is divisible by the number (56) 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 56271753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95264606400).

56271753216 is an abundant number, since it is smaller than the sum of its proper divisors (134257459584).

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

56271753216 is an equidigital number, since it uses as much as digits as its factorization.

56271753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72729 (or 72701 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 56271753216 in words is "fifty-six billion, two hundred seventy-one million, seven hundred fifty-three thousand, two hundred sixteen".