518009448960 has 240 divisors, whose sum is σ = 1795433942016. Its totient is φ = 138026409984.

The previous prime is 518009448893. The next prime is 518009448961. The reversal of 518009448960 is 69844900815.

518009448960 is a `hidden beast` number, since 5 + 18 + 0 + 0 + 94 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 518009448897 and 518009448906.

It is not an unprimeable number, because it can be changed into a prime (518009448961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31487457 + ... + 31503903.

Almost surely, 2^518009448960 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 518009448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897716971008).

518009448960 is an abundant number, since it is smaller than the sum of its proper divisors (1277424493056).

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

518009448960 is a wasteful number, since it uses less digits than its factorization.

518009448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843 (or 17824 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 518009448960 in words is "five hundred eighteen billion, nine million, four hundred forty-eight thousand, nine hundred sixty".