13535344520 has 64 divisors (see below), whose sum is σ = 32161691520. Its totient is φ = 5116317184.

The previous prime is 13535344519. The next prime is 13535344531. The reversal of 13535344520 is 2544353531.

It is a happy number.

13535344520 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 15 ways as a sum of consecutive naturals, for example, 12269 + ... + 164988.

It is an arithmetic number, because the mean of its divisors is an integer number (502526430).

Almost surely, 2^13535344520 is an apocalyptic number.

13535344520 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 13535344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16080845760).

13535344520 is an abundant number, since it is smaller than the sum of its proper divisors (18626347000).

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

13535344520 is a wasteful number, since it uses less digits than its factorization.

13535344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177374 (or 177370 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 13535344520 in words is "thirteen billion, five hundred thirty-five million, three hundred forty-four thousand, five hundred twenty".