509361611782920 has 128 divisors (see below), whose sum is σ = 1717178945529600. Its totient is φ = 119929958083584.

The previous prime is 509361611782913. The next prime is 509361611782931. The reversal of 509361611782920 is 29287116163905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7098091375 + ... + 7098163134.

It is an arithmetic number, because the mean of its divisors is an integer number (13415460511950).

Almost surely, 2^{509361611782920} is an apocalyptic number.

It is an amenable number.

509361611782920 is an abundant number, since it is smaller than the sum of its proper divisors (1207817333746680).

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

509361611782920 is a wasteful number, since it uses less digits than its factorization.

509361611782920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196254559 (or 14196254555 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 509361611782920 in words is "five hundred nine trillion, three hundred sixty-one billion, six hundred eleven million, seven hundred eighty-two thousand, nine hundred twenty".