13535405424 has 160 divisors (see below), whose sum is σ = 41307356160. Its totient is φ = 4234044672.

The previous prime is 13535405417. The next prime is 13535405461. The reversal of 13535405424 is 42450453531.

13535405424 is a `hidden beast` number, since 13 + 53 + 54 + 0 + 542 + 4 = 666.

13535405424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 513757 + ... + 539459.

It is an arithmetic number, because the mean of its divisors is an integer number (258170976).

Almost surely, 2^13535405424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13535405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653678080).

13535405424 is an abundant number, since it is smaller than the sum of its proper divisors (27771950736).

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

13535405424 is a wasteful number, since it uses less digits than its factorization.

13535405424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25796 (or 25784 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 13535405424 its reverse (42450453531), we get a palindrome (55985858955).

The spelling of 13535405424 in words is "thirteen billion, five hundred thirty-five million, four hundred five thousand, four hundred twenty-four".