51096592800 has 576 divisors, whose sum is σ = 204106936320. Its totient is φ = 12233088000.

The previous prime is 51096592753. The next prime is 51096592951. The reversal of 51096592800 is 829569015.

51096592800 is a `hidden beast` number, since 51 + 0 + 9 + 6 + 592 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×51096592800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19719505 + ... + 19722095.

It is an arithmetic number, because the mean of its divisors is an integer number (354352320).

Almost surely, 2^51096592800 is an apocalyptic number.

51096592800 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 51096592800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102053468160).

51096592800 is an abundant number, since it is smaller than the sum of its proper divisors (153010343520).

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

51096592800 is a wasteful number, since it uses less digits than its factorization.

51096592800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 51096592800 in words is "fifty-one billion, ninety-six million, five hundred ninety-two thousand, eight hundred".