518688685000 has 40 divisors (see below), whose sum is σ = 1215287600670. Its totient is φ = 207475472000.

The previous prime is 518688684977. The next prime is 518688685019. The reversal of 518688685000 is 586886815.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 470109124 + 518218575876 = 21682^2 + 719874^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×518688685000³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 51863869 + ... + 51873868.

Almost surely, 2^518688685000 is an apocalyptic number.

518688685000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

518688685000 is an abundant number, since it is smaller than the sum of its proper divisors (696598915670).

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

518688685000 is a wasteful number, since it uses less digits than its factorization.

518688685000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103737763 (or 103737744 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 55.

The spelling of 518688685000 in words is "five hundred eighteen billion, six hundred eighty-eight million, six hundred eighty-five thousand".