518991685680 has 320 divisors, whose sum is σ = 1799164846080. Its totient is φ = 123626880000.

The previous prime is 518991685669. The next prime is 518991685687. The reversal of 518991685680 is 86586199815.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (518991685687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16329805 + ... + 16361555.

It is an arithmetic number, because the mean of its divisors is an integer number (5622390144).

Almost surely, 2^518991685680 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 518991685680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899582423040).

518991685680 is an abundant number, since it is smaller than the sum of its proper divisors (1280173160400).

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

518991685680 is a wasteful number, since it uses less digits than its factorization.

518991685680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31837 (or 31805 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 66.

The spelling of 518991685680 in words is "five hundred eighteen billion, nine hundred ninety-one million, six hundred eighty-five thousand, six hundred eighty".