22206164428800 has 3456 divisors, whose sum is σ = 98172316569600. Its totient is φ = 4873125888000.

The previous prime is 22206164428759. The next prime is 22206164428823. The reversal of 22206164428800 is 882446160222.

22206164428800 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 616 + 4 + 4 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×22206164428800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136234137519 + ... + 136234137681.

It is an arithmetic number, because the mean of its divisors is an integer number (28406341600).

Almost surely, 2^{22206164428800} is an apocalyptic number.

22206164428800 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 22206164428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49086158284800).

22206164428800 is an abundant number, since it is smaller than the sum of its proper divisors (75966152140800).

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

22206164428800 is a wasteful number, since it uses less digits than its factorization.

22206164428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 22206164428800 in words is "twenty-two trillion, two hundred six billion, one hundred sixty-four million, four hundred twenty-eight thousand, eight hundred".