512132791968 has 576 divisors, whose sum is σ = 1841752080000. Its totient is φ = 137659834368.

The previous prime is 512132791927. The next prime is 512132791981. The reversal of 512132791968 is 869197231215.

It is a happy number.

512132791968 is a `hidden beast` number, since 5 + 121 + 327 + 9 + 196 + 8 = 666.

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

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, 119851080 + ... + 119855352.

It is an arithmetic number, because the mean of its divisors is an integer number (3197486250).

Almost surely, 2^512132791968 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 512132791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920876040000).

512132791968 is an abundant number, since it is smaller than the sum of its proper divisors (1329619288032).

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

512132791968 is a wasteful number, since it uses less digits than its factorization.

512132791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4453 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 512132791968 in words is "five hundred twelve billion, one hundred thirty-two million, seven hundred ninety-one thousand, nine hundred sixty-eight".