51609958400 has 1152 divisors, whose sum is σ = 184263206400. Its totient is φ = 13801881600.

The previous prime is 51609958391. The next prime is 51609958441. The reversal of 51609958400 is 485990615.

It is a happy number.

It is a congruent number.

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, 973772774 + ... + 973772826.

It is an arithmetic number, because the mean of its divisors is an integer number (159950700).

Almost surely, 2^51609958400 is an apocalyptic number.

51609958400 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 51609958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131603200).

51609958400 is an abundant number, since it is smaller than the sum of its proper divisors (132653248000).

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

51609958400 is a wasteful number, since it uses less digits than its factorization.

51609958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 51609958400 in words is "fifty-one billion, six hundred nine million, nine hundred fifty-eight thousand, four hundred".