220327192800 has 2160 divisors, whose sum is σ = 996371228160. Its totient is φ = 46904832000.

The previous prime is 220327192781. The next prime is 220327192843. The reversal of 220327192800 is 8291723022.

220327192800 is a `hidden beast` number, since 220 + 3 + 271 + 92 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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, 3734359171 + ... + 3734359229.

It is an arithmetic number, because the mean of its divisors is an integer number (461282976).

Almost surely, 2^220327192800 is an apocalyptic number.

220327192800 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 220327192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498185614080).

220327192800 is an abundant number, since it is smaller than the sum of its proper divisors (776044035360).

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

220327192800 is a wasteful number, since it uses less digits than its factorization.

220327192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 220327192800 in words is "two hundred twenty billion, three hundred twenty-seven million, one hundred ninety-two thousand, eight hundred".