518104055808 has 672 divisors, whose sum is σ = 1663672689630. Its totient is φ = 161163509760.

The previous prime is 518104055761. The next prime is 518104055851. The reversal of 518104055808 is 808550401815.

518104055808 is a `hidden beast` number, since 5 + 18 + 10 + 40 + 5 + 580 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 511785713664 + 6318342144 = 715392^2 + 79488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 12636684268 + ... + 12636684308.

Almost surely, 2^518104055808 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 518104055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831836344815).

518104055808 is an abundant number, since it is smaller than the sum of its proper divisors (1145568633822).

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

518104055808 is an frugal number, since it uses more digits than its factorization.

518104055808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 518104055808 in words is "five hundred eighteen billion, one hundred four million, fifty-five thousand, eight hundred eight".