56938049280 has 1008 divisors, whose sum is σ = 244499028480. Its totient is φ = 12415721472.

The previous prime is 56938049213. The next prime is 56938049293. The reversal of 56938049280 is 8294083965.

56938049280 is a `hidden beast` number, since 569 + 38 + 0 + 49 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 150232131 + ... + 150232509.

It is an arithmetic number, because the mean of its divisors is an integer number (242558560).

Almost surely, 2^56938049280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56938049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122249514240).

56938049280 is an abundant number, since it is smaller than the sum of its proper divisors (187560979200).

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

56938049280 is an equidigital number, since it uses as much as digits as its factorization.

56938049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 56938049280 in words is "fifty-six billion, nine hundred thirty-eight million, forty-nine thousand, two hundred eighty".