22010538528 has 288 divisors, whose sum is σ = 71515446912. Its totient is φ = 6356275200.

The previous prime is 22010538521. The next prime is 22010538533. The reversal of 22010538528 is 82583501022.

22010538528 is a `hidden beast` number, since 2 + 20 + 105 + 3 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22010538492 and 22010538501.

It is not an unprimeable number, because it can be changed into a prime (22010538521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33298518 + ... + 33299178.

It is an arithmetic number, because the mean of its divisors is an integer number (248317524).

Almost surely, 2^22010538528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010538528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35757723456).

22010538528 is an abundant number, since it is smaller than the sum of its proper divisors (49504908384).

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

22010538528 is a wasteful number, since it uses less digits than its factorization.

22010538528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 22010538528 in words is "twenty-two billion, ten million, five hundred thirty-eight thousand, five hundred twenty-eight".