13393644280800 has 360 divisors, whose sum is σ = 50859359777016. Its totient is φ = 3061403089920.

The previous prime is 13393644280789. The next prime is 13393644280837. The reversal of 13393644280800 is 808244639331.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 4600242 + ... + 6924558.

Almost surely, 2^{13393644280800} is an apocalyptic number.

13393644280800 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 13393644280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25429679888508).

13393644280800 is an abundant number, since it is smaller than the sum of its proper divisors (37465715496216).

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

13393644280800 is an equidigital number, since it uses as much as digits as its factorization.

13393644280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324368 (or 2324334 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 13393644280800 in words is "thirteen trillion, three hundred ninety-three billion, six hundred forty-four million, two hundred eighty thousand, eight hundred".