22083010560 has 460 divisors, whose sum is σ = 85261801548. Its totient is φ = 5435817984.

The previous prime is 22083010529. The next prime is 22083010561. The reversal of 22083010560 is 6501038022.

22083010560 is a `hidden beast` number, since 2 + 20 + 83 + 0 + 1 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5435817984 + 16647192576 = 73728^2 + 129024^2 .

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 (22083010561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1698693114 + ... + 1698693126.

Almost surely, 2^22083010560 is an apocalyptic number.

22083010560 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 22083010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42630900774).

22083010560 is an abundant number, since it is smaller than the sum of its proper divisors (63178790988).

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

22083010560 is an frugal number, since it uses more digits than its factorization.

22083010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22083010560 its reverse (6501038022), we get a palindrome (28584048582).

The spelling of 22083010560 in words is "twenty-two billion, eighty-three million, ten thousand, five hundred sixty".