13528660896 has 288 divisors, whose sum is σ = 42136174080. Its totient is φ = 4101580800.

The previous prime is 13528660891. The next prime is 13528660949. The reversal of 13528660896 is 69806682531.

It is a happy number.

13528660896 is a `hidden beast` number, since 1 + 3 + 5 + 28 + 6 + 608 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13528660891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29346106 + ... + 29346566.

It is an arithmetic number, because the mean of its divisors is an integer number (146306160).

Almost surely, 2^13528660896 is an apocalyptic number.

13528660896 is a gapful number since it is divisible by the number (16) 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 13528660896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21068087040).

13528660896 is an abundant number, since it is smaller than the sum of its proper divisors (28607513184).

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

13528660896 is a wasteful number, since it uses less digits than its factorization.

13528660896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13528660896 in words is "thirteen billion, five hundred twenty-eight million, six hundred sixty thousand, eight hundred ninety-six".