13520728600 has 96 divisors (see below), whose sum is σ = 31841087040. Its totient is φ = 5338880000.

The previous prime is 13520728597. The next prime is 13520728603. The reversal of 13520728600 is 682702531.

It is a happy number.

13520728600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13520728597) and next prime (13520728603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520728603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8705424 + ... + 8706976.

It is an arithmetic number, because the mean of its divisors is an integer number (331677990).

Almost surely, 2^13520728600 is an apocalyptic number.

13520728600 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 13520728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920543520).

13520728600 is an abundant number, since it is smaller than the sum of its proper divisors (18320358440).

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

13520728600 is a wasteful number, since it uses less digits than its factorization.

13520728600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 13520728600 in words is "thirteen billion, five hundred twenty million, seven hundred twenty-eight thousand, six hundred".