56896845868800 has 3888 divisors, whose sum is σ = 268665793177600. Its totient is φ = 11208189542400.

The previous prime is 56896845868771. The next prime is 56896845868847. The reversal of 56896845868800 is 886854869865.

56896845868800 is a `hidden beast` number, since 5 + 6 + 89 + 6 + 8 + 458 + 6 + 8 + 80 + 0 = 666.

56896845868800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56896845868800.

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 431 ways as a sum of consecutive naturals, for example, 68633106786 + ... + 68633107614.

Almost surely, 2^{56896845868800} is an apocalyptic number.

56896845868800 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 56896845868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134332896588800).

56896845868800 is an abundant number, since it is smaller than the sum of its proper divisors (211768947308800).

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

56896845868800 is a wasteful number, since it uses less digits than its factorization.

56896845868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 6370099200, while the sum is 81.

The spelling of 56896845868800 in words is "fifty-six trillion, eight hundred ninety-six billion, eight hundred forty-five million, eight hundred sixty-eight thousand, eight hundred".