13522538082700 has 144 divisors (see below), whose sum is σ = 29831740646400. Its totient is φ = 5319891763200.

The previous prime is 13522538082667. The next prime is 13522538082701. The reversal of 13522538082700 is 728083522531.

It is not an unprimeable number, because it can be changed into a prime (13522538082701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067197365 + ... + 1067210035.

It is an arithmetic number, because the mean of its divisors is an integer number (207164865600).

Almost surely, 2^{13522538082700} is an apocalyptic number.

13522538082700 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 13522538082700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915870323200).

13522538082700 is an abundant number, since it is smaller than the sum of its proper divisors (16309202563700).

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

13522538082700 is a wasteful number, since it uses less digits than its factorization.

13522538082700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13460 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 13522538082700 in words is "thirteen trillion, five hundred twenty-two billion, five hundred thirty-eight million, eighty-two thousand, seven hundred".