220245105600 has 504 divisors, whose sum is σ = 862655345552. Its totient is φ = 52951449600.

The previous prime is 220245105583. The next prime is 220245105607. The reversal of 220245105600 is 6501542022.

220245105600 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 4 + 51 + 0 + 5 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220245105607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8035920 + ... + 8063280.

Almost surely, 2^220245105600 is an apocalyptic number.

220245105600 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 220245105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431327672776).

220245105600 is an abundant number, since it is smaller than the sum of its proper divisors (642410239952).

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

220245105600 is a wasteful number, since it uses less digits than its factorization.

220245105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27445 (or 27427 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 220245105600 its reverse (6501542022), we get a palindrome (226746647622).

The spelling of 220245105600 in words is "two hundred twenty billion, two hundred forty-five million, one hundred five thousand, six hundred".