509989492256 has 96 divisors (see below), whose sum is σ = 1066425494400. Its totient is φ = 239401267200.

The previous prime is 509989492253. The next prime is 509989492291. The reversal of 509989492256 is 652294989905.

It is not an unprimeable number, because it can be changed into a prime (509989492253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39746450 + ... + 39759278.

It is an arithmetic number, because the mean of its divisors is an integer number (11108598900).

Almost surely, 2^509989492256 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 509989492256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533212747200).

509989492256 is an abundant number, since it is smaller than the sum of its proper divisors (556436002144).

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

509989492256 is a wasteful number, since it uses less digits than its factorization.

509989492256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 68.

The spelling of 509989492256 in words is "five hundred nine billion, nine hundred eighty-nine million, four hundred ninety-two thousand, two hundred fifty-six".