56563511963904 has 864 divisors, whose sum is σ = 189308685565440. Its totient is φ = 16634585088000.

The previous prime is 56563511963899. The next prime is 56563511963951. The reversal of 56563511963904 is 40936911536565.

56563511963904 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 3 + 51 + 196 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13337303224 + ... + 13337307464.

It is an arithmetic number, because the mean of its divisors is an integer number (219107274960).

Almost surely, 2^{56563511963904} is an apocalyptic number.

56563511963904 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 56563511963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94654342782720).

56563511963904 is an abundant number, since it is smaller than the sum of its proper divisors (132745173601536).

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

56563511963904 is a wasteful number, since it uses less digits than its factorization.

56563511963904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 56563511963904 in words is "fifty-six trillion, five hundred sixty-three billion, five hundred eleven million, nine hundred sixty-three thousand, nine hundred four".