56785593600 has 648 divisors, whose sum is σ = 210723825312. Its totient is φ = 14579712000.

The previous prime is 56785593521. The next prime is 56785593617. The reversal of 56785593600 is 639558765.

56785593600 is a `hidden beast` number, since 56 + 7 + 8 + 559 + 36 + 0 + 0 = 666.

It is a super-3 number, since 3×56785593600³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250156687 + ... + 250156913.

Almost surely, 2^56785593600 is an apocalyptic number.

56785593600 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 56785593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105361912656).

56785593600 is an abundant number, since it is smaller than the sum of its proper divisors (153938231712).

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

56785593600 is a wasteful number, since it uses less digits than its factorization.

56785593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 56785593600 in words is "fifty-six billion, seven hundred eighty-five million, five hundred ninety-three thousand, six hundred".