12991080960 has 480 divisors, whose sum is σ = 52870866048. Its totient is φ = 2906357760.

The previous prime is 12991080913. The next prime is 12991080979. The reversal of 12991080960 is 6908019921.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3292749 + ... + 3296691.

Almost surely, 2^12991080960 is an apocalyptic number.

12991080960 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 12991080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26435433024).

12991080960 is an abundant number, since it is smaller than the sum of its proper divisors (39879785088).

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

12991080960 is a wasteful number, since it uses less digits than its factorization.

12991080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 12991080960 in words is "twelve billion, nine hundred ninety-one million, eighty thousand, nine hundred sixty".