56074645785600 has 1584 divisors, whose sum is σ = 224779263727200. Its totient is φ = 13768969420800.

The previous prime is 56074645785593. The next prime is 56074645785617. The reversal of 56074645785600 is 658754647065.

56074645785600 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 4 + 6 + 4 + 578 + 56 + 0 + 0 = 666.

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, 53455333876 + ... + 53455334924.

Almost surely, 2^{56074645785600} is an apocalyptic number.

56074645785600 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 56074645785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112389631863600).

56074645785600 is an abundant number, since it is smaller than the sum of its proper divisors (168704617941600).

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

56074645785600 is a wasteful number, since it uses less digits than its factorization.

56074645785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 56074645785600 in words is "fifty-six trillion, seventy-four billion, six hundred forty-five million, seven hundred eighty-five thousand, six hundred".