56941605504 has 320 divisors, whose sum is σ = 199920652800. Its totient is φ = 15743600640.

The previous prime is 56941605491. The next prime is 56941605521. The reversal of 56941605504 is 40550614965.

56941605504 is a `hidden beast` number, since 5 + 6 + 94 + 1 + 6 + 0 + 550 + 4 = 666.

56941605504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56941605504³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56941605504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2237202 + ... + 2262510.

It is an arithmetic number, because the mean of its divisors is an integer number (624752040).

Almost surely, 2^56941605504 is an apocalyptic number.

56941605504 is a gapful number since it is divisible by the number (54) 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 56941605504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99960326400).

56941605504 is an abundant number, since it is smaller than the sum of its proper divisors (142979047296).

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

56941605504 is a wasteful number, since it uses less digits than its factorization.

56941605504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25373 (or 25352 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 56941605504 in words is "fifty-six billion, nine hundred forty-one million, six hundred five thousand, five hundred four".