13528936960 has 160 divisors (see below), whose sum is σ = 40442447232. Its totient is φ = 4216750080.

The previous prime is 13528936937. The next prime is 13528936987. The reversal of 13528936960 is 6963982531.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 13528936898 and 13528936907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162804 + ... + 231436.

Almost surely, 2^13528936960 is an apocalyptic number.

13528936960 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 13528936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221223616).

13528936960 is an abundant number, since it is smaller than the sum of its proper divisors (26913510272).

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

13528936960 is an equidigital number, since it uses as much as digits as its factorization.

13528936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68674 (or 68658 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 13528936960 in words is "thirteen billion, five hundred twenty-eight million, nine hundred thirty-six thousand, nine hundred sixty".