13720320000 has 480 divisors, whose sum is σ = 50915264400. Its totient is φ = 3649536000.

The previous prime is 13720319981. The next prime is 13720320001. The reversal of 13720320000 is 2302731.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34559802 + ... + 34560198.

Almost surely, 2^13720320000 is an apocalyptic number.

13720320000 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 13720320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25457632200).

13720320000 is an abundant number, since it is smaller than the sum of its proper divisors (37194944400).

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

13720320000 is an frugal number, since it uses more digits than its factorization.

13720320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 13720320000 its reverse (2302731), we get a palindrome (13722622731).

The spelling of 13720320000 in words is "thirteen billion, seven hundred twenty million, three hundred twenty thousand".