512199984960 has 672 divisors, whose sum is σ = 1972765476864. Its totient is φ = 121356288000.

The previous prime is 512199984941. The next prime is 512199985007. The reversal of 512199984960 is 69489991215.

512199984960 is a `hidden beast` number, since 51 + 2 + 1 + 9 + 9 + 98 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62224045 + ... + 62232275.

It is an arithmetic number, because the mean of its divisors is an integer number (2935662912).

Almost surely, 2^512199984960 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 512199984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986382738432).

512199984960 is an abundant number, since it is smaller than the sum of its proper divisors (1460565491904).

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

512199984960 is a wasteful number, since it uses less digits than its factorization.

512199984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 512199984960 in words is "five hundred twelve billion, one hundred ninety-nine million, nine hundred eighty-four thousand, nine hundred sixty".