13821180160 has 72 divisors (see below), whose sum is σ = 33140504376. Its totient is φ = 5522718720.

The previous prime is 13821180137. The next prime is 13821180167. The reversal of 13821180160 is 6108112831.

13821180160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2978539776 + 10842640384 = 54576^2 + 104128^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13821180167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352992 + ... + 1363168.

It is an arithmetic number, because the mean of its divisors is an integer number (460284783).

Almost surely, 2^13821180160 is an apocalyptic number.

13821180160 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 13821180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16570252188).

13821180160 is an abundant number, since it is smaller than the sum of its proper divisors (19319324216).

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

13821180160 is a wasteful number, since it uses less digits than its factorization.

13821180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259 (or 11245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

Adding to 13821180160 its reverse (6108112831), we get a palindrome (19929292991).

The spelling of 13821180160 in words is "thirteen billion, eight hundred twenty-one million, one hundred eighty thousand, one hundred sixty".