13500524443520 has 128 divisors (see below), whose sum is σ = 33993765828000. Its totient is φ = 5112915222528.

The previous prime is 13500524443517. The next prime is 13500524443561. The reversal of 13500524443520 is 2534442500531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19962434 + ... + 20627646.

Almost surely, 2^{13500524443520} is an apocalyptic number.

13500524443520 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 13500524443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996882914000).

13500524443520 is an abundant number, since it is smaller than the sum of its proper divisors (20493241384480).

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

13500524443520 is a wasteful number, since it uses less digits than its factorization.

13500524443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666920 (or 666908 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 13500524443520 in words is "thirteen trillion, five hundred billion, five hundred twenty-four million, four hundred forty-three thousand, five hundred twenty".