51096165120 has 1728 divisors, whose sum is σ = 248972935680. Its totient is φ = 9754214400.

The previous prime is 51096165077. The next prime is 51096165139. The reversal of 51096165120 is 2156169015.

51096165120 is a `hidden beast` number, since 5 + 10 + 9 + 616 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×51096165120² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161815 + ... + 242162025.

It is an arithmetic number, because the mean of its divisors is an integer number (144081560).

Almost surely, 2^51096165120 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 51096165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124486467840).

51096165120 is an abundant number, since it is smaller than the sum of its proper divisors (197876770560).

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

51096165120 is a wasteful number, since it uses less digits than its factorization.

51096165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

It can be divided in two parts, 510961 and 65120, that added together give a square (576081 = 759²).

The spelling of 51096165120 in words is "fifty-one billion, ninety-six million, one hundred sixty-five thousand, one hundred twenty".