12991648320 has 840 divisors, whose sum is σ = 55056764664. Its totient is φ = 2898395136.

The previous prime is 12991648283. The next prime is 12991648349. The reversal of 12991648320 is 2384619921.

It can be written as a sum of positive squares in 4 ways, for example, as 1140277824 + 11851370496 = 33768^2 + 108864^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

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 119 ways as a sum of consecutive naturals, for example, 67314144 + ... + 67314336.

Almost surely, 2^12991648320 is an apocalyptic number.

12991648320 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 12991648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27528382332).

12991648320 is an abundant number, since it is smaller than the sum of its proper divisors (42065116344).

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

12991648320 is a wasteful number, since it uses less digits than its factorization.

12991648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12991648320 in words is "twelve billion, nine hundred ninety-one million, six hundred forty-eight thousand, three hundred twenty".