518591009664 has 480 divisors, whose sum is σ = 1909950665040. Its totient is φ = 136768020480.

The previous prime is 518591009639. The next prime is 518591009683. The reversal of 518591009664 is 466900195815.

518591009664 is a `hidden beast` number, since 518 + 59 + 10 + 0 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 518591009664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12244204 + ... + 12286484.

Almost surely, 2^518591009664 is an apocalyptic number.

518591009664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518591009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954975332520).

518591009664 is an abundant number, since it is smaller than the sum of its proper divisors (1391359655376).

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

518591009664 is a wasteful number, since it uses less digits than its factorization.

518591009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42340 (or 42306 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 518591009664 in words is "five hundred eighteen billion, five hundred ninety-one million, nine thousand, six hundred sixty-four".