51168181680 has 640 divisors, whose sum is σ = 232673679360. Its totient is φ = 10006364160.

The previous prime is 51168181609. The next prime is 51168181733. The reversal of 51168181680 is 8618186115.

It is a happy number.

51168181680 is a `hidden beast` number, since 511 + 68 + 18 + 1 + 68 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2818392 + ... + 2836488.

It is an arithmetic number, because the mean of its divisors is an integer number (363552624).

Almost surely, 2^51168181680 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 51168181680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116336839680).

51168181680 is an abundant number, since it is smaller than the sum of its proper divisors (181505497680).

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

51168181680 is a wasteful number, since it uses less digits than its factorization.

51168181680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18154 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 51168181680 in words is "fifty-one billion, one hundred sixty-eight million, one hundred eighty-one thousand, six hundred eighty".