13281840000 has 1280 divisors, whose sum is σ = 58886150400. Its totient is φ = 2903040000.

The previous prime is 13281839993. The next prime is 13281840001. The reversal of 13281840000 is 4818231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281840001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 308879979 + ... + 308880021.

It is an arithmetic number, because the mean of its divisors is an integer number (46004805).

Almost surely, 2^13281840000 is an apocalyptic number.

13281840000 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 13281840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443075200).

13281840000 is an abundant number, since it is smaller than the sum of its proper divisors (45604310400).

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

13281840000 is a wasteful number, since it uses less digits than its factorization.

13281840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 13281840000 in words is "thirteen billion, two hundred eighty-one million, eight hundred forty thousand".