516388959792 has 120 divisors (see below), whose sum is σ = 1508481022464. Its totient is φ = 164593832832.

The previous prime is 516388959773. The next prime is 516388959829. The reversal of 516388959792 is 297959883615.

516388959792 is a `hidden beast` number, since 516 + 38 + 8 + 9 + 5 + 9 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 516388959792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11261103 + ... + 11306865.

Almost surely, 2^516388959792 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 516388959792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754240511232).

516388959792 is an abundant number, since it is smaller than the sum of its proper divisors (992092062672).

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

516388959792 is a wasteful number, since it uses less digits than its factorization.

516388959792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49207 (or 49198 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 516388959792 in words is "five hundred sixteen billion, three hundred eighty-eight million, nine hundred fifty-nine thousand, seven hundred ninety-two".