13720806528 has 256 divisors, whose sum is σ = 45074534400. Its totient is φ = 3635712000.

The previous prime is 13720806527. The next prime is 13720806551. The reversal of 13720806528 is 82560802731.

It is a self number, because there is not a number n which added to its sum of digits gives 13720806528.

It is not an unprimeable number, because it can be changed into a prime (13720806523) 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, 1036753 + ... + 1049903.

It is an arithmetic number, because the mean of its divisors is an integer number (176072400).

Almost surely, 2^13720806528 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 13720806528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537267200).

13720806528 is an abundant number, since it is smaller than the sum of its proper divisors (31353727872).

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

13720806528 is a wasteful number, since it uses less digits than its factorization.

13720806528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13211 (or 13199 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13720806528 in words is "thirteen billion, seven hundred twenty million, eight hundred six thousand, five hundred twenty-eight".