509479710432 has 96 divisors (see below), whose sum is σ = 1667388167424. Its totient is φ = 132332390400.

The previous prime is 509479710413. The next prime is 509479710479. The reversal of 509479710432 is 234017974905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 34454169 + ... + 34468952.

It is an arithmetic number, because the mean of its divisors is an integer number (17368626744).

Almost surely, 2^509479710432 is an apocalyptic number.

It is an amenable number.

509479710432 is an abundant number, since it is smaller than the sum of its proper divisors (1157908456992).

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

509479710432 is a wasteful number, since it uses less digits than its factorization.

509479710432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68923152 (or 68923144 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 509479710432 in words is "five hundred nine billion, four hundred seventy-nine million, seven hundred ten thousand, four hundred thirty-two".