12721809680 has 80 divisors (see below), whose sum is σ = 30917306880. Its totient is φ = 4859103744.

The previous prime is 12721809671. The next prime is 12721809701. The reversal of 12721809680 is 8690812721.

It is a Cunningham number, because it is equal to 112791²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122281 + ... + 1133559.

It is an arithmetic number, because the mean of its divisors is an integer number (386466336).

Almost surely, 2^12721809680 is an apocalyptic number.

12721809680 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 12721809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458653440).

12721809680 is an abundant number, since it is smaller than the sum of its proper divisors (18195497200).

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

12721809680 is a wasteful number, since it uses less digits than its factorization.

12721809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 12721809680 in words is "twelve billion, seven hundred twenty-one million, eight hundred nine thousand, six hundred eighty".