56605944398400 has 672 divisors, whose sum is σ = 225535931919360. Its totient is φ = 13748686848000.

The previous prime is 56605944398371. The next prime is 56605944398411. The reversal of 56605944398400 is 489344950665.

56605944398400 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 594 + 4 + 39 + 8 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21523210 + ... + 24009590.

Almost surely, 2^{56605944398400} is an apocalyptic number.

56605944398400 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 56605944398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112767965959680).

56605944398400 is an abundant number, since it is smaller than the sum of its proper divisors (168929987520960).

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

56605944398400 is a wasteful number, since it uses less digits than its factorization.

56605944398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486460 (or 2486439 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 56605944398400 in words is "fifty-six trillion, six hundred five billion, nine hundred forty-four million, three hundred ninety-eight thousand, four hundred".