518955831040 has 144 divisors (see below), whose sum is σ = 1265738987520. Its totient is φ = 203807784960.

The previous prime is 518955831019. The next prime is 518955831061. The reversal of 518955831040 is 40138559815.

It is an interprime number because it is at equal distance from previous prime (518955831019) and next prime (518955831061).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 45046401 + ... + 45057919.

It is an arithmetic number, because the mean of its divisors is an integer number (8789854080).

Almost surely, 2^518955831040 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 518955831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632869493760).

518955831040 is an abundant number, since it is smaller than the sum of its proper divisors (746783156480).

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

518955831040 is a wasteful number, since it uses less digits than its factorization.

518955831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 49.

The spelling of 518955831040 in words is "five hundred eighteen billion, nine hundred fifty-five million, eight hundred thirty-one thousand, forty".