509769116928 has 432 divisors, whose sum is σ = 1577075834880. Its totient is φ = 164128094208.

The previous prime is 509769116921. The next prime is 509769116947. The reversal of 509769116928 is 829611967905.

509769116928 is a `hidden beast` number, since 509 + 7 + 6 + 9 + 116 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509769116921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230977201 + ... + 230979407.

Almost surely, 2^509769116928 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 509769116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788537917440).

509769116928 is an abundant number, since it is smaller than the sum of its proper divisors (1067306717952).

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

509769116928 is an equidigital number, since it uses as much as digits as its factorization.

509769116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 509769116928 in words is "five hundred nine billion, seven hundred sixty-nine million, one hundred sixteen thousand, nine hundred twenty-eight".