13521935808 has 168 divisors, whose sum is σ = 40952592720. Its totient is φ = 4253921280.

The previous prime is 13521935771. The next prime is 13521935851. The reversal of 13521935808 is 80853912531.

13521935808 is a `hidden beast` number, since 1 + 3 + 52 + 19 + 3 + 580 + 8 = 666.

13521935808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13521935808² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3073066 + ... + 3077462.

Almost surely, 2^13521935808 is an apocalyptic number.

13521935808 is a gapful number since it is divisible by the number (18) 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 13521935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476296360).

13521935808 is an abundant number, since it is smaller than the sum of its proper divisors (27430656912).

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

13521935808 is a wasteful number, since it uses less digits than its factorization.

13521935808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 13521935808 in words is "thirteen billion, five hundred twenty-one million, nine hundred thirty-five thousand, eight hundred eight".