518959378272 has 48 divisors (see below), whose sum is σ = 1433966708160. Its totient is φ = 163881908352.

The previous prime is 518959378271. The next prime is 518959378309. The reversal of 518959378272 is 272873959815.

518959378272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518959378271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142256778 + ... + 142260425.

It is an arithmetic number, because the mean of its divisors is an integer number (29874306420).

Almost surely, 2^518959378272 is an apocalyptic number.

It is an amenable number.

518959378272 is an abundant number, since it is smaller than the sum of its proper divisors (915007329888).

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

518959378272 is a wasteful number, since it uses less digits than its factorization.

518959378272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284517235 (or 284517227 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 66.

The spelling of 518959378272 in words is "five hundred eighteen billion, nine hundred fifty-nine million, three hundred seventy-eight thousand, two hundred seventy-two".