518352115008 has 448 divisors, whose sum is σ = 1778068275200. Its totient is φ = 132291532800.

The previous prime is 518352114991. The next prime is 518352115087. The reversal of 518352115008 is 800511253815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 26530203 + ... + 26549733.

It is an arithmetic number, because the mean of its divisors is an integer number (3968902400).

Almost surely, 2^518352115008 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 518352115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889034137600).

518352115008 is an abundant number, since it is smaller than the sum of its proper divisors (1259716160192).

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

518352115008 is a wasteful number, since it uses less digits than its factorization.

518352115008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19611 (or 19587 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 39.

The spelling of 518352115008 in words is "five hundred eighteen billion, three hundred fifty-two million, one hundred fifteen thousand, eight".