12809666240 has 504 divisors, whose sum is σ = 39186502272. Its totient is φ = 3971358720.

The previous prime is 12809666231. The next prime is 12809666251. The reversal of 12809666240 is 4266690821.

It is a junction number, because it is equal to n+sod(n) for n = 12809666191 and 12809666200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175474844 + ... + 175474916.

Almost surely, 2^12809666240 is an apocalyptic number.

12809666240 is a gapful number since it is divisible by the number (10) 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 12809666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593251136).

12809666240 is an abundant number, since it is smaller than the sum of its proper divisors (26376836032).

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

12809666240 is a wasteful number, since it uses less digits than its factorization.

12809666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 12809666240 in words is "twelve billion, eight hundred nine million, six hundred sixty-six thousand, two hundred forty".