509775942672 has 30 divisors (see below), whose sum is σ = 1426664617742. Its totient is φ = 169925314176.

The previous prime is 509775942667. The next prime is 509775942713. The reversal of 509775942672 is 276249577905.

509775942672 is a `hidden beast` number, since 5 + 0 + 97 + 7 + 59 + 426 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 473586206976 + 36189735696 = 688176^2 + 190236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1770055213 + ... + 1770055500.

Almost surely, 2^509775942672 is an apocalyptic number.

It is an amenable number.

509775942672 is an abundant number, since it is smaller than the sum of its proper divisors (916888675070).

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

509775942672 is a wasteful number, since it uses less digits than its factorization.

509775942672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540110727 (or 3540110718 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 509775942672 in words is "five hundred nine billion, seven hundred seventy-five million, nine hundred forty-two thousand, six hundred seventy-two".