13328894540 has 192 divisors, whose sum is σ = 33347220480. Its totient is φ = 4428103680.

The previous prime is 13328894531. The next prime is 13328894587. The reversal of 13328894540 is 4549882331.

13328894540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12194234 + ... + 12195326.

It is an arithmetic number, because the mean of its divisors is an integer number (173683440).

Almost surely, 2^13328894540 is an apocalyptic number.

13328894540 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 13328894540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16673610240).

13328894540 is an abundant number, since it is smaller than the sum of its proper divisors (20018325940).

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

13328894540 is a wasteful number, since it uses less digits than its factorization.

13328894540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 13328894540 in words is "thirteen billion, three hundred twenty-eight million, eight hundred ninety-four thousand, five hundred forty".