56911384468800 has 420 divisors, whose sum is σ = 209574629668800. Its totient is φ = 15148605588480.

The previous prime is 56911384468777. The next prime is 56911384468831. The reversal of 56911384468800 is 886448311965.

56911384468800 is a `hidden beast` number, since 5 + 6 + 9 + 1 + 13 + 84 + 468 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70489801 + ... + 71292599.

Almost surely, 2^{56911384468800} is an apocalyptic number.

56911384468800 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 56911384468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104787314834400).

56911384468800 is an abundant number, since it is smaller than the sum of its proper divisors (152663245200000).

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

56911384468800 is a wasteful number, since it uses less digits than its factorization.

56911384468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803380 (or 803356 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 56911384468800 in words is "fifty-six trillion, nine hundred eleven billion, three hundred eighty-four million, four hundred sixty-eight thousand, eight hundred".