220435010320 has 120 divisors (see below), whose sum is σ = 596774832984. Its totient is φ = 75503167488.

The previous prime is 220435010317. The next prime is 220435010353. The reversal of 220435010320 is 23010534022.

It can be written as a sum of positive squares in 4 ways, for example, as 33728057104 + 186706953216 = 183652^2 + 432096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220435010291 and 220435010300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4022142 + ... + 4076578.

Almost surely, 2^220435010320 is an apocalyptic number.

220435010320 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 220435010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298387416492).

220435010320 is an abundant number, since it is smaller than the sum of its proper divisors (376339822664).

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

220435010320 is a wasteful number, since it uses less digits than its factorization.

220435010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55497 (or 55484 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 220435010320 its reverse (23010534022), we get a palindrome (243445544342).

The spelling of 220435010320 in words is "two hundred twenty billion, four hundred thirty-five million, ten thousand, three hundred twenty".