220873625600 has 156 divisors (see below), whose sum is σ = 561068920020. Its totient is φ = 86192947200.

The previous prime is 220873625579. The next prime is 220873625603. The reversal of 220873625600 is 6526378022.

It can be written as a sum of positive squares in 6 ways, for example, as 4328587264 + 216545038336 = 65792^2 + 465344^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (220873625603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4172096 + ... + 4224704.

Almost surely, 2^220873625600 is an apocalyptic number.

220873625600 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 220873625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280534460010).

220873625600 is an abundant number, since it is smaller than the sum of its proper divisors (340195294420).

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

220873625600 is an equidigital number, since it uses as much as digits as its factorization.

220873625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52684 (or 52657 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 220873625600 in words is "two hundred twenty billion, eight hundred seventy-three million, six hundred twenty-five thousand, six hundred".