13532350240 has 96 divisors (see below), whose sum is σ = 33823440000. Its totient is φ = 5102051328.

The previous prime is 13532350229. The next prime is 13532350261. The reversal of 13532350240 is 4205323531.

It is a junction number, because it is equal to n+sod(n) for n = 13532350199 and 13532350208.

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, 593776 + ... + 616144.

It is an arithmetic number, because the mean of its divisors is an integer number (352327500).

Almost surely, 2^13532350240 is an apocalyptic number.

13532350240 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 13532350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911720000).

13532350240 is an abundant number, since it is smaller than the sum of its proper divisors (20291089760).

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

13532350240 is a wasteful number, since it uses less digits than its factorization.

13532350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22602 (or 22594 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 13532350240 its reverse (4205323531), we get a palindrome (17737673771).

The spelling of 13532350240 in words is "thirteen billion, five hundred thirty-two million, three hundred fifty thousand, two hundred forty".