13500242400 has 288 divisors, whose sum is σ = 46437027840. Its totient is φ = 3401144320.

The previous prime is 13500242347. The next prime is 13500242411. The reversal of 13500242400 is 424200531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3269137 + ... + 3273263.

It is an arithmetic number, because the mean of its divisors is an integer number (161239680).

Almost surely, 2^13500242400 is an apocalyptic number.

13500242400 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 13500242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218513920).

13500242400 is an abundant number, since it is smaller than the sum of its proper divisors (32936785440).

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

13500242400 is a wasteful number, since it uses less digits than its factorization.

13500242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 13500242400 its reverse (424200531), we get a palindrome (13924442931).

The spelling of 13500242400 in words is "thirteen billion, five hundred million, two hundred forty-two thousand, four hundred".