22011264000 has 880 divisors, whose sum is σ = 89951992416. Its totient is φ = 5308416000.

The previous prime is 22011263993. The next prime is 22011264031. The reversal of 22011264000 is 46211022.

22011264000 is a `hidden beast` number, since 2 + 20 + 1 + 1 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 114047904 + ... + 114048096.

Almost surely, 2^22011264000 is an apocalyptic number.

22011264000 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 22011264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44975996208).

22011264000 is an abundant number, since it is smaller than the sum of its proper divisors (67940728416).

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

22011264000 is a wasteful number, since it uses less digits than its factorization.

22011264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22011264000 its reverse (46211022), we get a palindrome (22057475022).

The spelling of 22011264000 in words is "twenty-two billion, eleven million, two hundred sixty-four thousand".