12844920591360 has 4224 divisors, whose sum is σ = 58691525308416. Its totient is φ = 2648687247360.

The previous prime is 12844920591359. The next prime is 12844920591379. The reversal of 12844920591360 is 6319502944821.

It is a happy number.

12844920591360 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 49 + 2 + 0 + 591 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12844920591297 and 12844920591306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 175957816284 + ... + 175957816356.

It is an arithmetic number, because the mean of its divisors is an integer number (13894773984).

Almost surely, 2^{12844920591360} is an apocalyptic number.

12844920591360 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 12844920591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29345762654208).

12844920591360 is an abundant number, since it is smaller than the sum of its proper divisors (45846604717056).

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

12844920591360 is a wasteful number, since it uses less digits than its factorization.

12844920591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12844920591360 in words is "twelve trillion, eight hundred forty-four billion, nine hundred twenty million, five hundred ninety-one thousand, three hundred sixty".