13509842000 has 80 divisors (see below), whose sum is σ = 32774693952. Its totient is φ = 5386089600.

The previous prime is 13509841949. The next prime is 13509842041. The reversal of 13509842000 is 24890531.

13509842000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 602999 + ... + 625001.

Almost surely, 2^13509842000 is an apocalyptic number.

13509842000 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 13509842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387346976).

13509842000 is an abundant number, since it is smaller than the sum of its proper divisors (19264851952).

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

13509842000 is a wasteful number, since it uses less digits than its factorization.

13509842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22333 (or 22317 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 13509842000 in words is "thirteen billion, five hundred nine million, eight hundred forty-two thousand".