518131804400 has 120 divisors (see below), whose sum is σ = 1423258682400. Its totient is φ = 177568174080.

The previous prime is 518131804357. The next prime is 518131804417. The reversal of 518131804400 is 4408131815.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6616676 + ... + 6694524.

It is an arithmetic number, because the mean of its divisors is an integer number (11860489020).

Almost surely, 2^518131804400 is an apocalyptic number.

518131804400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518131804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711629341200).

518131804400 is an abundant number, since it is smaller than the sum of its proper divisors (905126878000).

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

518131804400 is a wasteful number, since it uses less digits than its factorization.

518131804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80251 (or 80240 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 518131804400 in words is "five hundred eighteen billion, one hundred thirty-one million, eight hundred four thousand, four hundred".