12844350905960 has 128 divisors (see below), whose sum is σ = 33924279928320. Its totient is φ = 4284340687872.

The previous prime is 12844350905959. The next prime is 12844350906007. The reversal of 12844350905960 is 6950905344821.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 12844350905896 and 12844350905905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117873422 + ... + 117982338.

It is an arithmetic number, because the mean of its divisors is an integer number (265033436940).

Almost surely, 2^{12844350905960} is an apocalyptic number.

12844350905960 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 12844350905960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962139964160).

12844350905960 is an abundant number, since it is smaller than the sum of its proper divisors (21079929022360).

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

12844350905960 is a wasteful number, since it uses less digits than its factorization.

12844350905960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120355 (or 120351 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 12844350905960 in words is "twelve trillion, eight hundred forty-four billion, three hundred fifty million, nine hundred five thousand, nine hundred sixty".