512479199232 has 1368 divisors, whose sum is σ = 2088558081792. Its totient is φ = 118908518400.

The previous prime is 512479199231. The next prime is 512479199249. The reversal of 512479199232 is 232991974215.

It is a happy number.

512479199232 is a `hidden beast` number, since 51 + 2 + 479 + 1 + 9 + 92 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (512479199231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16531587057 + ... + 16531587087.

It is an arithmetic number, because the mean of its divisors is an integer number (1526723744).

Almost surely, 2^512479199232 is an apocalyptic number.

512479199232 is a gapful number since it is divisible by the number (52) 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 512479199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044279040896).

512479199232 is an abundant number, since it is smaller than the sum of its proper divisors (1576078882560).

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

512479199232 is a wasteful number, since it uses less digits than its factorization.

512479199232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 512479199232 in words is "five hundred twelve billion, four hundred seventy-nine million, one hundred ninety-nine thousand, two hundred thirty-two".