518559944599872 has 168 divisors, whose sum is σ = 1698945971745152. Its totient is φ = 148138127078400.

The previous prime is 518559944599841. The next prime is 518559944599933. The reversal of 518559944599872 is 278995449955815.

It is a happy number.

518559944599872 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 5 + 9 + 9 + 4 + 4 + 599 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×518559944599872² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17857797 + ... + 36824187.

Almost surely, 2^{518559944599872} 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 518559944599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849472985872576).

518559944599872 is an abundant number, since it is smaller than the sum of its proper divisors (1180386027145280).

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

518559944599872 is a wasteful number, since it uses less digits than its factorization.

518559944599872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18973197 (or 18973184 counting only the distinct ones).

The product of its digits is 58786560000, while the sum is 90.

The spelling of 518559944599872 in words is "five hundred eighteen trillion, five hundred fifty-nine billion, nine hundred forty-four million, five hundred ninety-nine thousand, eight hundred seventy-two".