22068286400 has 84 divisors (see below), whose sum is σ = 54342316512. Its totient is φ = 8820725760.

The previous prime is 22068286393. The next prime is 22068286411. The reversal of 22068286400 is 468286022.

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 11 ways as a sum of consecutive naturals, for example, 2528444 + ... + 2537156.

Almost surely, 2^22068286400 is an apocalyptic number.

22068286400 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 22068286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27171158256).

22068286400 is an abundant number, since it is smaller than the sum of its proper divisors (32274030112).

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

22068286400 is a wasteful number, since it uses less digits than its factorization.

22068286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 22068286400 in words is "twenty-two billion, sixty-eight million, two hundred eighty-six thousand, four hundred".