518291294038272 has 216 divisors, whose sum is σ = 1503508622039424. Its totient is φ = 171709305864192.

The previous prime is 518291294038249. The next prime is 518291294038279. The reversal of 518291294038272 is 272830492192815.

518291294038272 is a `hidden beast` number, since 5 + 1 + 8 + 29 + 129 + 40 + 382 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (518291294038279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261389533 + ... + 263364899.

Almost surely, 2^{518291294038272} 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 518291294038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751754311019712).

518291294038272 is an abundant number, since it is smaller than the sum of its proper divisors (985217328001152).

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

518291294038272 is a wasteful number, since it uses less digits than its factorization.

518291294038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976085 (or 1976068 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 518291294038272 in words is "five hundred eighteen trillion, two hundred ninety-one billion, two hundred ninety-four million, thirty-eight thousand, two hundred seventy-two".