13215424000 has 160 divisors (see below), whose sum is σ = 34021608192. Its totient is φ = 5114880000.

The previous prime is 13215423971. The next prime is 13215424009. The reversal of 13215424000 is 42451231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13215424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980670 + ... + 1987330.

Almost surely, 2^13215424000 is an apocalyptic number.

13215424000 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 13215424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010804096).

13215424000 is an abundant number, since it is smaller than the sum of its proper divisors (20806184192).

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

13215424000 is an frugal number, since it uses more digits than its factorization.

13215424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 13215424000 its reverse (42451231), we get a palindrome (13257875231).

The spelling of 13215424000 in words is "thirteen billion, two hundred fifteen million, four hundred twenty-four thousand".