13220444160 has 1344 divisors, whose sum is σ = 61873943040. Its totient is φ = 2627665920.

The previous prime is 13220444143. The next prime is 13220444161. The reversal of 13220444160 is 6144402231.

It is a happy number.

13220444160 is a `hidden beast` number, since 13 + 2 + 204 + 441 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220444161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 574801909 + ... + 574801931.

It is an arithmetic number, because the mean of its divisors is an integer number (46037160).

Almost surely, 2^13220444160 is an apocalyptic number.

13220444160 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 13220444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30936971520).

13220444160 is an abundant number, since it is smaller than the sum of its proper divisors (48653498880).

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

13220444160 is an equidigital number, since it uses as much as digits as its factorization.

13220444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13220444160 its reverse (6144402231), we get a palindrome (19364846391).

The spelling of 13220444160 in words is "thirteen billion, two hundred twenty million, four hundred forty-four thousand, one hundred sixty".