56251293696000 has 1360 divisors, whose sum is σ = 225904775464368. Its totient is φ = 13844348928000.

The previous prime is 56251293695983. The next prime is 56251293696109. The reversal of 56251293696000 is 69639215265.

It is a happy number.

56251293696000 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 1 + 29 + 3 + 6 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15107587375104 + 41143706320896 = 3886848^2 + 6414336^2 .

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 79 ways as a sum of consecutive naturals, for example, 8626172740 + ... + 8626179260.

Almost surely, 2^{56251293696000} is an apocalyptic number.

56251293696000 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 56251293696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112952387732184).

56251293696000 is an abundant number, since it is smaller than the sum of its proper divisors (169653481768368).

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

56251293696000 is an frugal number, since it uses more digits than its factorization.

56251293696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 56251293696000 in words is "fifty-six trillion, two hundred fifty-one billion, two hundred ninety-three million, six hundred ninety-six thousand".