13809024000 has 264 divisors, whose sum is σ = 49765976208. Its totient is φ = 3682099200.

The previous prime is 13809023957. The next prime is 13809024011. The reversal of 13809024000 is 42090831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146007 + ... + 1157993.

Almost surely, 2^13809024000 is an apocalyptic number.

13809024000 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 13809024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24882988104).

13809024000 is an abundant number, since it is smaller than the sum of its proper divisors (35956952208).

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

13809024000 is a wasteful number, since it uses less digits than its factorization.

13809024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13809024000 in words is "thirteen billion, eight hundred nine million, twenty-four thousand".