13005216720 has 240 divisors, whose sum is σ = 45530514432. Its totient is φ = 3323013120.

The previous prime is 13005216701. The next prime is 13005216727. The reversal of 13005216720 is 2761250031.

It is a happy number.

13005216720 is a `hidden beast` number, since 130 + 0 + 521 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005216727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2296132 + ... + 2301788.

Almost surely, 2^13005216720 is an apocalyptic number.

13005216720 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 13005216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22765257216).

13005216720 is an abundant number, since it is smaller than the sum of its proper divisors (32525297712).

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

13005216720 is a wasteful number, since it uses less digits than its factorization.

13005216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 13005216720 its reverse (2761250031), we get a palindrome (15766466751).

The spelling of 13005216720 in words is "thirteen billion, five million, two hundred sixteen thousand, seven hundred twenty".