12805917696 has 704 divisors, whose sum is σ = 46219622400. Its totient is φ = 3450470400.

The previous prime is 12805917659. The next prime is 12805917779. The reversal of 12805917696 is 69671950821.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162100185 + ... + 162100263.

Almost surely, 2^12805917696 is an apocalyptic number.

12805917696 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 12805917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109811200).

12805917696 is an abundant number, since it is smaller than the sum of its proper divisors (33413704704).

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

12805917696 is a wasteful number, since it uses less digits than its factorization.

12805917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12805917696 in words is "twelve billion, eight hundred five million, nine hundred seventeen thousand, six hundred ninety-six".