51631912800 has 432 divisors, whose sum is σ = 199308524688. Its totient is φ = 12499660800.

The previous prime is 51631912789. The next prime is 51631912807. The reversal of 51631912800 is 821913615.

51631912800 is a `hidden beast` number, since 5 + 1 + 631 + 9 + 12 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51631912807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5705079 + ... + 5714121.

Almost surely, 2^51631912800 is an apocalyptic number.

51631912800 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 51631912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99654262344).

51631912800 is an abundant number, since it is smaller than the sum of its proper divisors (147676611888).

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

51631912800 is a wasteful number, since it uses less digits than its factorization.

51631912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 51631912800 in words is "fifty-one billion, six hundred thirty-one million, nine hundred twelve thousand, eight hundred".