51431708160 has 1120 divisors, whose sum is σ = 219835072512. Its totient is φ = 11287019520.

The previous prime is 51431708143. The next prime is 51431708173. The reversal of 51431708160 is 6180713415.

51431708160 is a `hidden beast` number, since 514 + 3 + 1 + 7 + 0 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 404974017 + ... + 404974143.

Almost surely, 2^51431708160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51431708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109917536256).

51431708160 is an abundant number, since it is smaller than the sum of its proper divisors (168403364352).

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

51431708160 is an equidigital number, since it uses as much as digits as its factorization.

51431708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51431708160 in words is "fifty-one billion, four hundred thirty-one million, seven hundred eight thousand, one hundred sixty".