13809249484800 has 2448 divisors, whose sum is σ = 59764550823936. Its totient is φ = 2750939136000.

The previous prime is 13809249484787. The next prime is 13809249484841. The reversal of 13809249484800 is 848494290831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129058406347 + ... + 129058406453.

Almost surely, 2^{13809249484800} is an apocalyptic number.

13809249484800 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 13809249484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29882275411968).

13809249484800 is an abundant number, since it is smaller than the sum of its proper divisors (45955301339136).

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

13809249484800 is a wasteful number, since it uses less digits than its factorization.

13809249484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 13809249484800 in words is "thirteen trillion, eight hundred nine billion, two hundred forty-nine million, four hundred eighty-four thousand, eight hundred".