13215552240000 has 800 divisors, whose sum is σ = 48264823906200. Its totient is φ = 3202918400000.

The previous prime is 13215552239983. The next prime is 13215552240013. The reversal of 13215552240000 is 4225551231.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 13215552240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3513838120 + ... + 3513841880.

Almost surely, 2^{13215552240000} is an apocalyptic number.

13215552240000 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 13215552240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24132411953100).

13215552240000 is an abundant number, since it is smaller than the sum of its proper divisors (35049271666200).

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

13215552240000 is an frugal number, since it uses more digits than its factorization.

13215552240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 13215552240000 its reverse (4225551231), we get a palindrome (13219777791231).

The spelling of 13215552240000 in words is "thirteen trillion, two hundred fifteen billion, five hundred fifty-two million, two hundred forty thousand".