509749760832 has 224 divisors, whose sum is σ = 1504676167680. Its totient is φ = 151243683840.

The previous prime is 509749760803. The next prime is 509749760837. The reversal of 509749760832 is 238067947905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509749760837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21885769 + ... + 21909047.

It is an arithmetic number, because the mean of its divisors is an integer number (6717304320).

Almost surely, 2^509749760832 is an apocalyptic number.

509749760832 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 509749760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752338083840).

509749760832 is an abundant number, since it is smaller than the sum of its proper divisors (994926406848).

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

509749760832 is a wasteful number, since it uses less digits than its factorization.

509749760832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23621 (or 23611 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 509749760832 in words is "five hundred nine billion, seven hundred forty-nine million, seven hundred sixty thousand, eight hundred thirty-two".