56609126913600 has 504 divisors, whose sum is σ = 207101392662528. Its totient is φ = 14658223104000.

The previous prime is 56609126913571. The next prime is 56609126913623. The reversal of 56609126913600 is 631962190665.

56609126913600 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 9 + 1 + 26 + 9 + 1 + 3 + 600 = 666.

56609126913600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85624300 + ... + 86282900.

It is an arithmetic number, because the mean of its divisors is an integer number (410915461632).

Almost surely, 2^{56609126913600} is an apocalyptic number.

56609126913600 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 56609126913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103550696331264).

56609126913600 is an abundant number, since it is smaller than the sum of its proper divisors (150492265748928).

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

56609126913600 is a wasteful number, since it uses less digits than its factorization.

56609126913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658803 (or 658785 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 56609126913600 in words is "fifty-six trillion, six hundred nine billion, one hundred twenty-six million, nine hundred thirteen thousand, six hundred".