220806705800 has 108 divisors (see below), whose sum is σ = 519172268895. Its totient is φ = 87336504960.

The previous prime is 220806705797. The next prime is 220806705827. The reversal of 220806705800 is 8507608022.

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 9366755524 + 211439950276 = 96782^2 + 459826^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332270.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 990164489 + ... + 990164711.

Almost surely, 2^220806705800 is an apocalyptic number.

220806705800 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 220806705800

220806705800 is an abundant number, since it is smaller than the sum of its proper divisors (298365563095).

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

220806705800 is an equidigital number, since it uses as much as digits as its factorization.

220806705800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 220806705800 in words is "two hundred twenty billion, eight hundred six million, seven hundred five thousand, eight hundred".