22200213574800 has 720 divisors, whose sum is σ = 80870878932480. Its totient is φ = 5847966720000.

The previous prime is 22200213574793. The next prime is 22200213574817. The reversal of 22200213574800 is 847531200222.

22200213574800 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 0 + 2 + 1 + 3 + 574 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 4702436440 + ... + 4702441160.

It is an arithmetic number, because the mean of its divisors is an integer number (112320665184).

Almost surely, 2^{22200213574800} is an apocalyptic number.

22200213574800 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 22200213574800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435439466240).

22200213574800 is an abundant number, since it is smaller than the sum of its proper divisors (58670665357680).

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

22200213574800 is a wasteful number, since it uses less digits than its factorization.

22200213574800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22200213574800 in words is "twenty-two trillion, two hundred billion, two hundred thirteen million, five hundred seventy-four thousand, eight hundred".