13329249120 has 288 divisors, whose sum is σ = 51334002720. Its totient is φ = 3119800320.

The previous prime is 13329249107. The next prime is 13329249127. The reversal of 13329249120 is 2194292331.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13329249127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444852 + ... + 473868.

It is an arithmetic number, because the mean of its divisors is an integer number (178243065).

Almost surely, 2^13329249120 is an apocalyptic number.

13329249120 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 13329249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667001360).

13329249120 is an abundant number, since it is smaller than the sum of its proper divisors (38004753600).

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

13329249120 is a wasteful number, since it uses less digits than its factorization.

13329249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29078 (or 29067 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13329249120 in words is "thirteen billion, three hundred twenty-nine million, two hundred forty-nine thousand, one hundred twenty".