51679468800 has 864 divisors, whose sum is σ = 199368489600. Its totient is φ = 13085245440.

The previous prime is 51679468783. The next prime is 51679468807. The reversal of 51679468800 is 886497615.

51679468800 is a `hidden beast` number, since 516 + 7 + 9 + 46 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51679468807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377222332 + ... + 377222468.

Almost surely, 2^51679468800 is an apocalyptic number.

51679468800 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 51679468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99684244800).

51679468800 is an abundant number, since it is smaller than the sum of its proper divisors (147689020800).

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

51679468800 is a wasteful number, since it uses less digits than its factorization.

51679468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 51679468800 in words is "fifty-one billion, six hundred seventy-nine million, four hundred sixty-eight thousand, eight hundred".