13905540108 has 96 divisors (see below), whose sum is σ = 37997030400. Its totient is φ = 4385648448.

The previous prime is 13905540073. The next prime is 13905540137. The reversal of 13905540108 is 80104550931.

13905540108 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 5 + 540 + 108 = 666.

13905540108 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 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, 1795741 + ... + 1803467.

It is an arithmetic number, because the mean of its divisors is an integer number (395802400).

Almost surely, 2^13905540108 is an apocalyptic number.

13905540108 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 13905540108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998515200).

13905540108 is an abundant number, since it is smaller than the sum of its proper divisors (24091490292).

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

13905540108 is a wasteful number, since it uses less digits than its factorization.

13905540108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 13905540108 in words is "thirteen billion, nine hundred five million, five hundred forty thousand, one hundred eight".