12809567232 has 528 divisors, whose sum is σ = 47741935360. Its totient is φ = 3321077760.

The previous prime is 12809567213. The next prime is 12809567263. The reversal of 12809567232 is 23276590821.

12809567232 is a `hidden beast` number, since 1 + 2 + 80 + 9 + 567 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×12809567232³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417583 + ... + 23418129.

Almost surely, 2^12809567232 is an apocalyptic number.

12809567232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12809567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870967680).

12809567232 is an abundant number, since it is smaller than the sum of its proper divisors (34932368128).

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

12809567232 is a wasteful number, since it uses less digits than its factorization.

12809567232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12809567232 in words is "twelve billion, eight hundred nine million, five hundred sixty-seven thousand, two hundred thirty-two".