220285075200 has 432 divisors, whose sum is σ = 772541491680. Its totient is φ = 55086940160.

The previous prime is 220285075189. The next prime is 220285075321. The reversal of 220285075200 is 2570582022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103467736 + ... + 103469864.

It is an arithmetic number, because the mean of its divisors is an integer number (1788290490).

Almost surely, 2^220285075200 is an apocalyptic number.

220285075200 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 220285075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386270745840).

220285075200 is an abundant number, since it is smaller than the sum of its proper divisors (552256416480).

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

220285075200 is a wasteful number, since it uses less digits than its factorization.

220285075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 220285075200 in words is "two hundred twenty billion, two hundred eighty-five million, seventy-five thousand, two hundred".