51080814400 has 504 divisors, whose sum is σ = 162285407712. Its totient is φ = 15644160000.

The previous prime is 51080814383. The next prime is 51080814419. The reversal of 51080814400 is 441808015.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 52605915 + ... + 52606885.

Almost surely, 2^51080814400 is an apocalyptic number.

51080814400 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 51080814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81142703856).

51080814400 is an abundant number, since it is smaller than the sum of its proper divisors (111204593312).

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

51080814400 is a wasteful number, since it uses less digits than its factorization.

51080814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The spelling of 51080814400 in words is "fifty-one billion, eighty million, eight hundred fourteen thousand, four hundred".