518952118272 has 384 divisors, whose sum is σ = 1647623577600. Its totient is φ = 142132838400.

The previous prime is 518952118261. The next prime is 518952118297. The reversal of 518952118272 is 272811259815.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×518952118272² (a number of 24 digits) contains 22 as substring.

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, 145322247 + ... + 145325817.

It is an arithmetic number, because the mean of its divisors is an integer number (4290686400).

Almost surely, 2^518952118272 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 518952118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823811788800).

518952118272 is an abundant number, since it is smaller than the sum of its proper divisors (1128671459328).

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

518952118272 is a wasteful number, since it uses less digits than its factorization.

518952118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3723 counting only the distinct ones).

The product of its digits is 806400, while the sum is 51.

The spelling of 518952118272 in words is "five hundred eighteen billion, nine hundred fifty-two million, one hundred eighteen thousand, two hundred seventy-two".