56856214272 has 288 divisors, whose sum is σ = 178319344896. Its totient is φ = 15855206400.

The previous prime is 56856214249. The next prime is 56856214297. The reversal of 56856214272 is 27241265865.

56856214272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50628303 + ... + 50629425.

It is an arithmetic number, because the mean of its divisors is an integer number (619164392).

Almost surely, 2^56856214272 is an apocalyptic number.

56856214272 is a gapful number since it is divisible by the number (52) 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 56856214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159672448).

56856214272 is an abundant number, since it is smaller than the sum of its proper divisors (121463130624).

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

56856214272 is a wasteful number, since it uses less digits than its factorization.

56856214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1613 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 56856214272 in words is "fifty-six billion, eight hundred fifty-six million, two hundred fourteen thousand, two hundred seventy-two".