51404568000 has 448 divisors, whose sum is σ = 174462253056. Its totient is φ = 13332480000.

The previous prime is 51404567999. The next prime is 51404568031. The reversal of 51404568000 is 86540415.

It is a super-2 number, since 2×51404568000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165287845 + ... + 165288155.

It is an arithmetic number, because the mean of its divisors is an integer number (389424672).

Almost surely, 2^51404568000 is an apocalyptic number.

51404568000 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 51404568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87231126528).

51404568000 is an abundant number, since it is smaller than the sum of its proper divisors (123057685056).

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

51404568000 is a wasteful number, since it uses less digits than its factorization.

51404568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 51404568000 in words is "fifty-one billion, four hundred four million, five hundred sixty-eight thousand".