51983056800 has 576 divisors, whose sum is σ = 200837145600. Its totient is φ = 12947558400.

The previous prime is 51983056793. The next prime is 51983056819. The reversal of 51983056800 is 865038915.

51983056800 is a `hidden beast` number, since 5 + 1 + 9 + 83 + 0 + 568 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19417062 + ... + 19419738.

It is an arithmetic number, because the mean of its divisors is an integer number (348675600).

Almost surely, 2^51983056800 is an apocalyptic number.

51983056800 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 51983056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100418572800).

51983056800 is an abundant number, since it is smaller than the sum of its proper divisors (148854088800).

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

51983056800 is a wasteful number, since it uses less digits than its factorization.

51983056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 51983056800 in words is "fifty-one billion, nine hundred eighty-three million, fifty-six thousand, eight hundred".