51468112800 has 720 divisors, whose sum is σ = 204378606432. Its totient is φ = 12528691200.

The previous prime is 51468112783. The next prime is 51468112807. The reversal of 51468112800 is 821186415.

51468112800 is a `hidden beast` number, since 5 + 1 + 468 + 112 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (51468112807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90136515 + ... + 90137085.

Almost surely, 2^51468112800 is an apocalyptic number.

51468112800 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 51468112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102189303216).

51468112800 is an abundant number, since it is smaller than the sum of its proper divisors (152910493632).

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

51468112800 is a wasteful number, since it uses less digits than its factorization.

51468112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 51468112800 in words is "fifty-one billion, four hundred sixty-eight million, one hundred twelve thousand, eight hundred".