220644968052600 has 3072 divisors, whose sum is σ = 1076187119616000. Its totient is φ = 40169248358400.

The previous prime is 220644968052571. The next prime is 220644968052679. The reversal of 220644968052600 is 6250869446022.

220644968052600 is a `hidden beast` number, since 2 + 20 + 6 + 4 + 4 + 9 + 6 + 8 + 0 + 5 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4920365779 + ... + 4920410621.

It is an arithmetic number, because the mean of its divisors is an integer number (350321328000).

Almost surely, 2^{220644968052600} is an apocalyptic number.

220644968052600 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 220644968052600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538093559808000).

220644968052600 is an abundant number, since it is smaller than the sum of its proper divisors (855542151563400).

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

220644968052600 is a wasteful number, since it uses less digits than its factorization.

220644968052600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44955 (or 44940 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 220644968052600 in words is "two hundred twenty trillion, six hundred forty-four billion, nine hundred sixty-eight million, fifty-two thousand, six hundred".