518304084480 has 960 divisors, whose sum is σ = 2261042784000. Its totient is φ = 106794713088.

The previous prime is 518304084461. The next prime is 518304084481. The reversal of 518304084480 is 84480403815.

518304084480 is a `hidden beast` number, since 51 + 8 + 3 + 0 + 40 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (518304084481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90152646 + ... + 90158394.

It is an arithmetic number, because the mean of its divisors is an integer number (2355252900).

Almost surely, 2^518304084480 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 518304084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130521392000).

518304084480 is an abundant number, since it is smaller than the sum of its proper divisors (1742738699520).

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

518304084480 is a wasteful number, since it uses less digits than its factorization.

518304084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 518304084480 in words is "five hundred eighteen billion, three hundred four million, eighty-four thousand, four hundred eighty".