51607756800 has 1008 divisors, whose sum is σ = 206310201552. Its totient is φ = 12740198400.

The previous prime is 51607756787. The next prime is 51607756853. The reversal of 51607756800 is 865770615.

51607756800 is a `hidden beast` number, since 5 + 16 + 0 + 77 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 846028770 + ... + 846028830.

It is an arithmetic number, because the mean of its divisors is an integer number (204672819).

Almost surely, 2^51607756800 is an apocalyptic number.

51607756800 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 51607756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103155100776).

51607756800 is an abundant number, since it is smaller than the sum of its proper divisors (154702444752).

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

51607756800 is an equidigital number, since it uses as much as digits as its factorization.

51607756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 51607756800 in words is "fifty-one billion, six hundred seven million, seven hundred fifty-six thousand, eight hundred".