13222820160 has 336 divisors, whose sum is σ = 51024617280. Its totient is φ = 3196938240.

The previous prime is 13222820159. The next prime is 13222820161. The reversal of 13222820160 is 6102822231.

13222820160 is a `hidden beast` number, since 1 + 322 + 282 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13222820159) and next prime (13222820161).

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 (13222820161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35449734 + ... + 35450106.

It is an arithmetic number, because the mean of its divisors is an integer number (151858980).

Almost surely, 2^13222820160 is an apocalyptic number.

13222820160 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 13222820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25512308640).

13222820160 is an abundant number, since it is smaller than the sum of its proper divisors (37801797120).

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

13222820160 is an equidigital number, since it uses as much as digits as its factorization.

13222820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 394 counting only the distinct ones).

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

The spelling of 13222820160 in words is "thirteen billion, two hundred twenty-two million, eight hundred twenty thousand, one hundred sixty".