51931200307200 has 720 divisors, whose sum is σ = 181101174824640. Its totient is φ = 13094092800000.

The previous prime is 51931200307187. The next prime is 51931200307229. The reversal of 51931200307200 is 270300213915.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14031665350 + ... + 14031669050.

Almost surely, 2^{51931200307200} is an apocalyptic number.

51931200307200 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 51931200307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90550587412320).

51931200307200 is an abundant number, since it is smaller than the sum of its proper divisors (129169974517440).

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

51931200307200 is a wasteful number, since it uses less digits than its factorization.

51931200307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 51931200307200 in words is "fifty-one trillion, nine hundred thirty-one billion, two hundred million, three hundred seven thousand, two hundred".