13599791620800 has 1344 divisors, whose sum is σ = 59066459504640. Its totient is φ = 2652217344000.

The previous prime is 13599791620771. The next prime is 13599791620813. The reversal of 13599791620800 is 802619799531.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2381329945 + ... + 2381335655.

It is an arithmetic number, because the mean of its divisors is an integer number (43948258560).

Almost surely, 2^{13599791620800} is an apocalyptic number.

13599791620800 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 13599791620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29533229752320).

13599791620800 is an abundant number, since it is smaller than the sum of its proper divisors (45466667883840).

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

13599791620800 is a wasteful number, since it uses less digits than its factorization.

13599791620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 13599791620800 in words is "thirteen trillion, five hundred ninety-nine billion, seven hundred ninety-one million, six hundred twenty thousand, eight hundred".