56925442828800 has 5040 divisors, whose sum is σ = 270962479213272. Its totient is φ = 11738500300800.

The previous prime is 56925442828759. The next prime is 56925442828831. The reversal of 56925442828800 is 882824452965.

56925442828800 is a `hidden beast` number, since 5 + 6 + 9 + 2 + 544 + 2 + 8 + 2 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6810596722944 + 50114846105856 = 2609712^2 + 7079184^2 .

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×56925442828800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 362582438322 + ... + 362582438478.

Almost surely, 2^{56925442828800} is an apocalyptic number.

56925442828800 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 56925442828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135481239606636).

56925442828800 is an abundant number, since it is smaller than the sum of its proper divisors (214037036384472).

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

56925442828800 is a wasteful number, since it uses less digits than its factorization.

56925442828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 56925442828800 in words is "fifty-six trillion, nine hundred twenty-five billion, four hundred forty-two million, eight hundred twenty-eight thousand, eight hundred".