51788160 has 256 divisors, whose sum is σ = 190699200. Its totient is φ = 13436928.

The previous prime is 51788159. The next prime is 51788179. The reversal of 51788160 is 6188715.

51788160 is a `hidden beast` number, since 517 + 8 + 81 + 60 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1399662 + ... + 1399698.

Almost surely, 2^51788160 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 51788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95349600).

51788160 is an abundant number, since it is smaller than the sum of its proper divisors (138911040).

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

51788160 is an frugal number, since it uses more digits than its factorization.

51788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 51788160 is about 7196.3990995497. The cubic root of 51788160 is about 372.7435699614.

The spelling of 51788160 in words is "fifty-one million, seven hundred eighty-eight thousand, one hundred sixty".