13532286880 has 144 divisors (see below), whose sum is σ = 37485213696. Its totient is φ = 4602769920.

The previous prime is 13532286869. The next prime is 13532286893. The reversal of 13532286880 is 8868223531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13532286880.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988885 + ... + 1002475.

It is an arithmetic number, because the mean of its divisors is an integer number (260313984).

Almost surely, 2^13532286880 is an apocalyptic number.

13532286880 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 13532286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742606848).

13532286880 is an abundant number, since it is smaller than the sum of its proper divisors (23952926816).

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

13532286880 is a wasteful number, since it uses less digits than its factorization.

13532286880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13747 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 13532286880 in words is "thirteen billion, five hundred thirty-two million, two hundred eighty-six thousand, eight hundred eighty".