57272547916800 has 1584 divisors, whose sum is σ = 225402919123200. Its totient is φ = 14368555008000.

The previous prime is 57272547916777. The next prime is 57272547916949. The reversal of 57272547916800 is 861974527275.

57272547916800 is a `hidden beast` number, since 5 + 7 + 2 + 7 + 2 + 547 + 9 + 1 + 6 + 80 + 0 = 666.

57272547916800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17847473596 + ... + 17847476804.

Almost surely, 2^{57272547916800} is an apocalyptic number.

57272547916800 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 57272547916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112701459561600).

57272547916800 is an abundant number, since it is smaller than the sum of its proper divisors (168130371206400).

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

57272547916800 is a wasteful number, since it uses less digits than its factorization.

57272547916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 57272547916800 in words is "fifty-seven trillion, two hundred seventy-two billion, five hundred forty-seven million, nine hundred sixteen thousand, eight hundred".