22008020000000 has 216 divisors, whose sum is σ = 54964845715416. Its totient is φ = 8794816000000.

The previous prime is 22008019999993. The next prime is 22008020000011. The reversal of 22008020000000 is 2080022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 18447643485184 + 3560376514816 = 4295072^2 + 1886896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22008020000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20979999476 + ... + 20980000524.

Almost surely, 2^{22008020000000} is an apocalyptic number.

22008020000000 is a gapful number since it is divisible by the number (20) 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 22008020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27482422857708).

22008020000000 is an abundant number, since it is smaller than the sum of its proper divisors (32956825715416).

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

22008020000000 is an frugal number, since it uses more digits than its factorization.

22008020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22008020000000 its reverse (2080022), we get a palindrome (22008022080022).

The spelling of 22008020000000 in words is "twenty-two trillion, eight billion, twenty million", and thus it is an aban number and an uban number.