56331699591600 has 720 divisors, whose sum is σ = 199326557783808. Its totient is φ = 14729299200000.

The previous prime is 56331699591569. The next prime is 56331699591613. The reversal of 56331699591600 is 619599613365.

56331699591600 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 16 + 9 + 9 + 5 + 9 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68613519190 + ... + 68613520010.

Almost surely, 2^{56331699591600} is an apocalyptic number.

56331699591600 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 56331699591600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99663278891904).

56331699591600 is an abundant number, since it is smaller than the sum of its proper divisors (142994858192208).

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

56331699591600 is a wasteful number, since it uses less digits than its factorization.

56331699591600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 56331699591600 in words is "fifty-six trillion, three hundred thirty-one billion, six hundred ninety-nine million, five hundred ninety-one thousand, six hundred".