13535344000 has 256 divisors, whose sum is σ = 35973849600. Its totient is φ = 5053440000.

The previous prime is 13535343989. The next prime is 13535344001. The reversal of 13535344000 is 44353531.

It is a self number, because there is not a number n which added to its sum of digits gives 13535344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535344001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14383530 + ... + 14384470.

It is an arithmetic number, because the mean of its divisors is an integer number (140522850).

Almost surely, 2^13535344000 is an apocalyptic number.

13535344000 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 13535344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17986924800).

13535344000 is an abundant number, since it is smaller than the sum of its proper divisors (22438505600).

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

13535344000 is an equidigital number, since it uses as much as digits as its factorization.

13535344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1008 counting only the distinct ones).

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

Adding to 13535344000 its reverse (44353531), we get a palindrome (13579697531).

The spelling of 13535344000 in words is "thirteen billion, five hundred thirty-five million, three hundred forty-four thousand".