56563761625200 has 360 divisors, whose sum is σ = 215005404510000. Its totient is φ = 13706863779840.

The previous prime is 56563761625099. The next prime is 56563761625243. The reversal of 56563761625200 is 252616736565.

56563761625200 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 3 + 7 + 6 + 1 + 625 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14160450 + ... + 17710049.

It is an arithmetic number, because the mean of its divisors is an integer number (597237234750).

Almost surely, 2^{56563761625200} is an apocalyptic number.

56563761625200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56563761625200 is an abundant number, since it is smaller than the sum of its proper divisors (158441642884800).

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

56563761625200 is a wasteful number, since it uses less digits than its factorization.

56563761625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31870569 (or 31870555 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 56563761625200 in words is "fifty-six trillion, five hundred sixty-three billion, seven hundred sixty-one million, six hundred twenty-five thousand, two hundred".