13500811760 has 80 divisors (see below), whose sum is σ = 33064550400. Its totient is φ = 5112523008.

The previous prime is 13500811733. The next prime is 13500811769. The reversal of 13500811760 is 6711800531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500811769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3401297 + ... + 3405263.

It is an arithmetic number, because the mean of its divisors is an integer number (413306880).

Almost surely, 2^13500811760 is an apocalyptic number.

13500811760 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 13500811760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532275200).

13500811760 is an abundant number, since it is smaller than the sum of its proper divisors (19563738640).

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

13500811760 is a wasteful number, since it uses less digits than its factorization.

13500811760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 13500811760 in words is "thirteen billion, five hundred million, eight hundred eleven thousand, seven hundred sixty".