509692616880 has 160 divisors (see below), whose sum is σ = 1745730123264. Its totient is φ = 122360967168.

The previous prime is 509692616869. The next prime is 509692616957. The reversal of 509692616880 is 88616296905.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2621914 + ... + 2809593.

Almost surely, 2^509692616880 is an apocalyptic number.

It is an amenable number.

509692616880 is an abundant number, since it is smaller than the sum of its proper divisors (1236037506384).

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

509692616880 is a wasteful number, since it uses less digits than its factorization.

509692616880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431563 (or 5431557 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 509692616880 in words is "five hundred nine billion, six hundred ninety-two million, six hundred sixteen thousand, eight hundred eighty".