22185554227200 has 7020 divisors, whose sum is σ = 115375191865560. Its totient is φ = 4173688995840.

The previous prime is 22185554227171. The next prime is 22185554227241. The reversal of 22185554227200 is 272245558122.

22185554227200 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 5 + 554 + 22 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7020).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1167660748791 + ... + 1167660748809.

Almost surely, 2^{22185554227200} is an apocalyptic number.

22185554227200 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 22185554227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57687595932780).

22185554227200 is an abundant number, since it is smaller than the sum of its proper divisors (93189637638360).

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

22185554227200 is a wasteful number, since it uses less digits than its factorization.

22185554227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 22185554227200 in words is "twenty-two trillion, one hundred eighty-five billion, five hundred fifty-four million, two hundred twenty-seven thousand, two hundred".