13680509544528 has 160 divisors (see below), whose sum is σ = 37077176908800. Its totient is φ = 4340690178048.

The previous prime is 13680509544523. The next prime is 13680509544553. The reversal of 13680509544528 is 82544590508631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680509544523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239480353 + ... + 239537471.

It is an arithmetic number, because the mean of its divisors is an integer number (231732355680).

Almost surely, 2^{13680509544528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680509544528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18538588454400).

13680509544528 is an abundant number, since it is smaller than the sum of its proper divisors (23396667364272).

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

13680509544528 is a wasteful number, since it uses less digits than its factorization.

13680509544528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59589 (or 59583 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 13680509544528 in words is "thirteen trillion, six hundred eighty billion, five hundred nine million, five hundred forty-four thousand, five hundred twenty-eight".