13800065524 has 96 divisors (see below), whose sum is σ = 29520046080. Its totient is φ = 5519923200.

The previous prime is 13800065507. The next prime is 13800065569. The reversal of 13800065524 is 42556000831.

13800065524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13800065524.

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, 3165154 + ... + 3169510.

It is an arithmetic number, because the mean of its divisors is an integer number (307500480).

Almost surely, 2^13800065524 is an apocalyptic number.

13800065524 is a gapful number since it is divisible by the number (14) 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 13800065524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760023040).

13800065524 is an abundant number, since it is smaller than the sum of its proper divisors (15719980556).

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

13800065524 is a wasteful number, since it uses less digits than its factorization.

13800065524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 13800065524 in words is "thirteen billion, eight hundred million, sixty-five thousand, five hundred twenty-four".