56995066800 has 720 divisors, whose sum is σ = 236120498432. Its totient is φ = 12933043200.

The previous prime is 56995066787. The next prime is 56995066831. The reversal of 56995066800 is 866059965.

56995066800 is a `hidden beast` number, since 56 + 9 + 9 + 506 + 6 + 80 + 0 = 666.

56995066800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 143564202 + ... + 143564598.

Almost surely, 2^56995066800 is an apocalyptic number.

56995066800 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 56995066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118060249216).

56995066800 is an abundant number, since it is smaller than the sum of its proper divisors (179125431632).

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

56995066800 is a wasteful number, since it uses less digits than its factorization.

56995066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 56995066800 in words is "fifty-six billion, nine hundred ninety-five million, sixty-six thousand, eight hundred".