51560589225600 has 6144 divisors, whose sum is σ = 263143157760000. Its totient is φ = 9539860561920.

The previous prime is 51560589225533. The next prime is 51560589225653. The reversal of 51560589225600 is 652298506515.

It is a happy number.

51560589225600 is a `hidden beast` number, since 5 + 1 + 5 + 6 + 0 + 5 + 8 + 9 + 2 + 25 + 600 = 666.

51560589225600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51560589225600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 767 ways as a sum of consecutive naturals, for example, 200624860672 + ... + 200624860928.

It is an arithmetic number, because the mean of its divisors is an integer number (42829290000).

Almost surely, 2^{51560589225600} is an apocalyptic number.

51560589225600 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 51560589225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131571578880000).

51560589225600 is an abundant number, since it is smaller than the sum of its proper divisors (211582568534400).

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

51560589225600 is a wasteful number, since it uses less digits than its factorization.

51560589225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 51560589225600 in words is "fifty-one trillion, five hundred sixty billion, five hundred eighty-nine million, two hundred twenty-five thousand, six hundred".