51991910400 has 576 divisors, whose sum is σ = 181338393600. Its totient is φ = 13123584000.

The previous prime is 51991910381. The next prime is 51991910489. The reversal of 51991910400 is 401919915.

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, 290457511 + ... + 290457689.

It is an arithmetic number, because the mean of its divisors is an integer number (314823600).

Almost surely, 2^51991910400 is an apocalyptic number.

51991910400 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 51991910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90669196800).

51991910400 is an abundant number, since it is smaller than the sum of its proper divisors (129346483200).

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

51991910400 is a wasteful number, since it uses less digits than its factorization.

51991910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 39.

The spelling of 51991910400 in words is "fifty-one billion, nine hundred ninety-one million, nine hundred ten thousand, four hundred".