517818121344 has 96 divisors (see below), whose sum is σ = 1492484869200. Its totient is φ = 172326956544.

The previous prime is 517818121333. The next prime is 517818121361. The reversal of 517818121344 is 443121818715.

517818121344 is a `hidden beast` number, since 5 + 178 + 18 + 121 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 517818121344.

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 11 ways as a sum of consecutive naturals, for example, 350007 + ... + 1076169.

Almost surely, 2^517818121344 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 517818121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746242434600).

517818121344 is an abundant number, since it is smaller than the sum of its proper divisors (974666747856).

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

517818121344 is a wasteful number, since it uses less digits than its factorization.

517818121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726802 (or 726787 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 517818121344 in words is "five hundred seventeen billion, eight hundred eighteen million, one hundred twenty-one thousand, three hundred forty-four".