12844009728000 has 3072 divisors, whose sum is σ = 57843362304000. Its totient is φ = 2770993152000.

The previous prime is 12844009727957. The next prime is 12844009728013. The reversal of 12844009728000 is 82790044821.

12844009728000 is a `hidden beast` number, since 1 + 2 + 84 + 400 + 97 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24558335739 + ... + 24558336261.

It is an arithmetic number, because the mean of its divisors is an integer number (18829219500).

Almost surely, 2^{12844009728000} is an apocalyptic number.

12844009728000 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 12844009728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921681152000).

12844009728000 is an abundant number, since it is smaller than the sum of its proper divisors (44999352576000).

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

12844009728000 is a wasteful number, since it uses less digits than its factorization.

12844009728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12844009728000 in words is "twelve trillion, eight hundred forty-four billion, nine million, seven hundred twenty-eight thousand".