13882320000 has 320 divisors, whose sum is σ = 51206733600. Its totient is φ = 3701376000.

The previous prime is 13882319989. The next prime is 13882320007. The reversal of 13882320000 is 2328831.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13882320007) 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, 2156787 + ... + 2163213.

Almost surely, 2^13882320000 is an apocalyptic number.

13882320000 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 13882320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603366800).

13882320000 is an abundant number, since it is smaller than the sum of its proper divisors (37324413600).

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

13882320000 is an frugal number, since it uses more digits than its factorization.

13882320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13882320000 its reverse (2328831), we get a palindrome (13884648831).

The spelling of 13882320000 in words is "thirteen billion, eight hundred eighty-two million, three hundred twenty thousand".