509688347080 has 64 divisors (see below), whose sum is σ = 1251745980480. Its totient is φ = 185238585600.

The previous prime is 509688346997. The next prime is 509688347083. The reversal of 509688347080 is 80743886905.

It is a super-2 number, since 2×509688347080² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (509688347083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477022 + ... + 1116658.

It is an arithmetic number, because the mean of its divisors is an integer number (19558530945).

Almost surely, 2^509688347080 is an apocalyptic number.

It is an amenable number.

509688347080 is an abundant number, since it is smaller than the sum of its proper divisors (742057633400).

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

509688347080 is a wasteful number, since it uses less digits than its factorization.

509688347080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641470 (or 641466 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 509688347080 in words is "five hundred nine billion, six hundred eighty-eight million, three hundred forty-seven thousand, eighty".