12758759944000 has 336 divisors, whose sum is σ = 36773100748800. Its totient is φ = 4372370150400.

The previous prime is 12758759943973. The next prime is 12758759944019. The reversal of 12758759944000 is 44995785721.

It is a self number, because there is not a number n which added to its sum of digits gives 12758759944000.

It is a congruent number.

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, 996849601 + ... + 996862399.

Almost surely, 2^{12758759944000} is an apocalyptic number.

12758759944000 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 12758759944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18386550374400).

12758759944000 is an abundant number, since it is smaller than the sum of its proper divisors (24014340804800).

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

12758759944000 is a wasteful number, since it uses less digits than its factorization.

12758759944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383 (or 15356 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 12758759944000 in words is "twelve trillion, seven hundred fifty-eight billion, seven hundred fifty-nine million, nine hundred forty-four thousand".