509469212160 has 240 divisors, whose sum is σ = 1829786854896. Its totient is φ = 135858290688.

The previous prime is 509469212113. The next prime is 509469212173. The reversal of 509469212160 is 61212964905.

509469212160 is a `hidden beast` number, since 5 + 0 + 9 + 469 + 2 + 121 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212592 + ... + 1031568.

Almost surely, 2^509469212160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509469212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914893427448).

509469212160 is an abundant number, since it is smaller than the sum of its proper divisors (1320317642736).

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

509469212160 is an frugal number, since it uses more digits than its factorization.

509469212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819015 (or 818987 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 509469212160 in words is "five hundred nine billion, four hundred sixty-nine million, two hundred twelve thousand, one hundred sixty".