22002221775600 has 1800 divisors, whose sum is σ = 92544792032000. Its totient is φ = 4987843660800.

The previous prime is 22002221775577. The next prime is 22002221775617. The reversal of 22002221775600 is 657712220022.

22002221775600 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 2 + 2 + 21 + 77 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5884518531 + ... + 5884522269.

Almost surely, 2^{22002221775600} is an apocalyptic number.

22002221775600 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 22002221775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46272396016000).

22002221775600 is an abundant number, since it is smaller than the sum of its proper divisors (70542570256400).

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

22002221775600 is a wasteful number, since it uses less digits than its factorization.

22002221775600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 22002221775600 its reverse (657712220022), we get a palindrome (22659933995622).

The spelling of 22002221775600 in words is "twenty-two trillion, two billion, two hundred twenty-one million, seven hundred seventy-five thousand, six hundred".