51579659968 has 112 divisors (see below), whose sum is σ = 107869902624. Its totient is φ = 24439726080.

The previous prime is 51579659941. The next prime is 51579659977. The reversal of 51579659968 is 86995697515.

It is a super-2 number, since 2×51579659968² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51579659897 and 51579659906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62824998 + ... + 62825818.

Almost surely, 2^51579659968 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 51579659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53934951312).

51579659968 is an abundant number, since it is smaller than the sum of its proper divisors (56290242656).

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

51579659968 is a wasteful number, since it uses less digits than its factorization.

51579659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1520 counting only the distinct ones).

The product of its digits is 183708000, while the sum is 70.

The spelling of 51579659968 in words is "fifty-one billion, five hundred seventy-nine million, six hundred fifty-nine thousand, nine hundred sixty-eight".