13533530304 has 168 divisors, whose sum is σ = 41780033280. Its totient is φ = 3854989824.

The previous prime is 13533530299. The next prime is 13533530317. The reversal of 13533530304 is 40303533531.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375469 + ... + 3379475.

Almost surely, 2^13533530304 is an apocalyptic number.

13533530304 is a gapful number since it is divisible by the number (14) 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 13533530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20890016640).

13533530304 is an abundant number, since it is smaller than the sum of its proper divisors (28246502976).

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

13533530304 is a wasteful number, since it uses less digits than its factorization.

13533530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 30.

The spelling of 13533530304 in words is "thirteen billion, five hundred thirty-three million, five hundred thirty thousand, three hundred four".