220859872200 has 972 divisors, whose sum is σ = 876989249955. Its totient is φ = 49766745600.

The previous prime is 220859872187. The next prime is 220859872249. The reversal of 220859872200 is 2278958022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 129526570404 + 91333301796 = 359898^2 + 302214^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332310.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4167167374 + ... + 4167167426.

Almost surely, 2^220859872200 is an apocalyptic number.

220859872200 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 220859872200

220859872200 is an abundant number, since it is smaller than the sum of its proper divisors (656129377755).

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

220859872200 is a wasteful number, since it uses less digits than its factorization.

220859872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 220859872200 in words is "two hundred twenty billion, eight hundred fifty-nine million, eight hundred seventy-two thousand, two hundred".