518714819868960 has 1728 divisors, whose sum is σ = 2240140661950464. Its totient is φ = 108186553221120.

The previous prime is 518714819868853. The next prime is 518714819868989. The reversal of 518714819868960 is 69868918417815.

518714819868960 is a `hidden beast` number, since 5 + 1 + 8 + 71 + 481 + 9 + 8 + 6 + 8 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 518714819868960.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3966159729 + ... + 3966290511.

It is an arithmetic number, because the mean of its divisors is an integer number (1296377697888).

Almost surely, 2^{518714819868960} 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 518714819868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120070330975232).

518714819868960 is an abundant number, since it is smaller than the sum of its proper divisors (1721425842081504).

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

518714819868960 is a wasteful number, since it uses less digits than its factorization.

518714819868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130959 (or 130937 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 81.

The spelling of 518714819868960 in words is "five hundred eighteen trillion, seven hundred fourteen billion, eight hundred nineteen million, eight hundred sixty-eight thousand, nine hundred sixty".