51459932160 has 1080 divisors, whose sum is σ = 224503755840. Its totient is φ = 10673455104.

The previous prime is 51459932159. The next prime is 51459932221. The reversal of 51459932160 is 6123995415.

51459932160 is a `hidden beast` number, since 5 + 1 + 459 + 9 + 32 + 160 = 666.

It is a super-3 number, since 3×51459932160³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 872202211 + ... + 872202269.

It is an arithmetic number, because the mean of its divisors is an integer number (207873848).

Almost surely, 2^51459932160 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 51459932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112251877920).

51459932160 is an abundant number, since it is smaller than the sum of its proper divisors (173043823680).

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

51459932160 is a wasteful number, since it uses less digits than its factorization.

51459932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 51459932160 in words is "fifty-one billion, four hundred fifty-nine million, nine hundred thirty-two thousand, one hundred sixty".