518918868720 has 320 divisors, whose sum is σ = 2046097136640. Its totient is φ = 118414420992.

The previous prime is 518918868701. The next prime is 518918868737. The reversal of 518918868720 is 27868819815.

518918868720 is a `hidden beast` number, since 518 + 9 + 18 + 8 + 6 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9240567 + ... + 9296553.

It is an arithmetic number, because the mean of its divisors is an integer number (6394053552).

Almost surely, 2^518918868720 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 518918868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023048568320).

518918868720 is an abundant number, since it is smaller than the sum of its proper divisors (1527178267920).

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

518918868720 is a wasteful number, since it uses less digits than its factorization.

518918868720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56629 (or 56617 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 518918868720 in words is "five hundred eighteen billion, nine hundred eighteen million, eight hundred sixty-eight thousand, seven hundred twenty".