13526342880 has 48 divisors (see below), whose sum is σ = 42607981584. Its totient is φ = 3607024640.

The previous prime is 13526342857. The next prime is 13526342881. The reversal of 13526342880 is 8824362531.

13526342880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13526342881) 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 7 ways as a sum of consecutive naturals, for example, 14089461 + ... + 14090420.

It is an arithmetic number, because the mean of its divisors is an integer number (887666283).

Almost surely, 2^13526342880 is an apocalyptic number.

13526342880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13526342880 is an abundant number, since it is smaller than the sum of its proper divisors (29081638704).

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

13526342880 is a wasteful number, since it uses less digits than its factorization.

13526342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28179899 (or 28179891 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 13526342880 in words is "thirteen billion, five hundred twenty-six million, three hundred forty-two thousand, eight hundred eighty".