22142533010000 has 400 divisors, whose sum is σ = 58791999737856. Its totient is φ = 8026781184000.

The previous prime is 22142533009991. The next prime is 22142533010027. The reversal of 22142533010000 is 1033524122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2116264769 + ... + 2116275231.

Almost surely, 2^{22142533010000} is an apocalyptic number.

22142533010000 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 22142533010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29395999868928).

22142533010000 is an abundant number, since it is smaller than the sum of its proper divisors (36649466727856).

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

22142533010000 is a wasteful number, since it uses less digits than its factorization.

22142533010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 22142533010000 its reverse (1033524122), we get a palindrome (22143566534122).

The spelling of 22142533010000 in words is "twenty-two trillion, one hundred forty-two billion, five hundred thirty-three million, ten thousand".