220113925200 has 960 divisors, whose sum is σ = 881170268160. Its totient is φ = 51819264000.

The previous prime is 220113925153. The next prime is 220113925217. The reversal of 220113925200 is 2529311022.

It is a happy number.

220113925200 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 139 + 2 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 448296955 + ... + 448297445.

It is an arithmetic number, because the mean of its divisors is an integer number (917885696).

Almost surely, 2^220113925200 is an apocalyptic number.

220113925200 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 220113925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440585134080).

220113925200 is an abundant number, since it is smaller than the sum of its proper divisors (661056342960).

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

220113925200 is a wasteful number, since it uses less digits than its factorization.

220113925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 220113925200 in words is "two hundred twenty billion, one hundred thirteen million, nine hundred twenty-five thousand, two hundred".