56971252800 has 1512 divisors, whose sum is σ = 265312477248. Its totient is φ = 11769753600.

The previous prime is 56971252799. The next prime is 56971252801. The reversal of 56971252800 is 825217965.

56971252800 is a `hidden beast` number, since 56 + 9 + 71 + 2 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56971252799) and next prime (56971252801).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-3 number, since 3×56971252800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56971252801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 329313514 + ... + 329313686.

Almost surely, 2^56971252800 is an apocalyptic number.

56971252800 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 56971252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132656238624).

56971252800 is an abundant number, since it is smaller than the sum of its proper divisors (208341224448).

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

56971252800 is a wasteful number, since it uses less digits than its factorization.

56971252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 56971252800 in words is "fifty-six billion, nine hundred seventy-one million, two hundred fifty-two thousand, eight hundred".