51560308800 has 2016 divisors, whose sum is σ = 254512876800. Its totient is φ = 9754214400.

The previous prime is 51560308799. The next prime is 51560308829. The reversal of 51560308800 is 880306515.

51560308800 is a `hidden beast` number, since 515 + 60 + 3 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 706305564 + ... + 706305636.

Almost surely, 2^51560308800 is an apocalyptic number.

51560308800 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 51560308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127256438400).

51560308800 is an abundant number, since it is smaller than the sum of its proper divisors (202952568000).

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

51560308800 is a wasteful number, since it uses less digits than its factorization.

51560308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51560308800 in words is "fifty-one billion, five hundred sixty million, three hundred eight thousand, eight hundred".