509727415904 has 96 divisors (see below), whose sum is σ = 1166484836160. Its totient is φ = 214750052352.

The previous prime is 509727415871. The next prime is 509727415921. The reversal of 509727415904 is 409514727905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375032 + ... + 3522824.

It is an arithmetic number, because the mean of its divisors is an integer number (12150883710).

Almost surely, 2^509727415904 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 509727415904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583242418080).

509727415904 is an abundant number, since it is smaller than the sum of its proper divisors (656757420256).

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

509727415904 is a wasteful number, since it uses less digits than its factorization.

509727415904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148072 (or 148064 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 509727415904 in words is "five hundred nine billion, seven hundred twenty-seven million, four hundred fifteen thousand, nine hundred four".