221738785200 has 240 divisors, whose sum is σ = 789613107360. Its totient is φ = 59101332480.

The previous prime is 221738785199. The next prime is 221738785231. The reversal of 221738785200 is 2587837122.

221738785200 is a `hidden beast` number, since 2 + 21 + 7 + 38 + 78 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 30635982 + ... + 30643218.

It is an arithmetic number, because the mean of its divisors is an integer number (3290054614).

Almost surely, 2^221738785200 is an apocalyptic number.

221738785200 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 221738785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394806553680).

221738785200 is an abundant number, since it is smaller than the sum of its proper divisors (567874322160).

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

221738785200 is a wasteful number, since it uses less digits than its factorization.

221738785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 221738785200 in words is "two hundred twenty-one billion, seven hundred thirty-eight million, seven hundred eighty-five thousand, two hundred".