12809711616 has 416 divisors, whose sum is σ = 40126726080. Its totient is φ = 3598712832.

The previous prime is 12809711587. The next prime is 12809711639. The reversal of 12809711616 is 61611790821.

It is a tau number, because it is divible by the number of its divisors (416).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143929300 + ... + 143929388.

Almost surely, 2^12809711616 is an apocalyptic number.

12809711616 is a gapful number since it is divisible by the number (16) 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 12809711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063363040).

12809711616 is an abundant number, since it is smaller than the sum of its proper divisors (27317014464).

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

12809711616 is a wasteful number, since it uses less digits than its factorization.

12809711616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 12809711616 in words is "twelve billion, eight hundred nine million, seven hundred eleven thousand, six hundred sixteen".