509966867968 has 80 divisors (see below), whose sum is σ = 1107165565440. Its totient is φ = 233770752000.

The previous prime is 509966867959. The next prime is 509966868017. The reversal of 509966867968 is 869768669905.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 543958 + ... + 1147093.

It is an arithmetic number, because the mean of its divisors is an integer number (13839569568).

Almost surely, 2^509966867968 is an apocalyptic number.

It is an amenable number.

509966867968 is an abundant number, since it is smaller than the sum of its proper divisors (597198697472).

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

509966867968 is a wasteful number, since it uses less digits than its factorization.

509966867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691119 (or 1691103 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 79.

The spelling of 509966867968 in words is "five hundred nine billion, nine hundred sixty-six million, eight hundred sixty-seven thousand, nine hundred sixty-eight".