13599945744000 has 2048 divisors, whose sum is σ = 58264988221440. Its totient is φ = 2724341760000.

The previous prime is 13599945743933. The next prime is 13599945744013. The reversal of 13599945744000 is 44754999531.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13191023485 + ... + 13191024515.

It is an arithmetic number, because the mean of its divisors is an integer number (28449701280).

Almost surely, 2^{13599945744000} is an apocalyptic number.

13599945744000 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 13599945744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29132494110720).

13599945744000 is an abundant number, since it is smaller than the sum of its proper divisors (44665042477440).

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

13599945744000 is a wasteful number, since it uses less digits than its factorization.

13599945744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 13599945744000 in words is "thirteen trillion, five hundred ninety-nine billion, nine hundred forty-five million, seven hundred forty-four thousand".