220055002400 has 144 divisors (see below), whose sum is σ = 566121140928. Its totient is φ = 83360640000.

The previous prime is 220055002357. The next prime is 220055002441. The reversal of 220055002400 is 4200550022.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1799195 + ... + 1917605.

It is an arithmetic number, because the mean of its divisors is an integer number (3931396812).

Almost surely, 2^220055002400 is an apocalyptic number.

220055002400 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 220055002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283060570464).

220055002400 is an abundant number, since it is smaller than the sum of its proper divisors (346066138528).

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

220055002400 is a wasteful number, since it uses less digits than its factorization.

220055002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118555 (or 118542 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 220055002400 its reverse (4200550022), we get a palindrome (224255552422).

The spelling of 220055002400 in words is "two hundred twenty billion, fifty-five million, two thousand, four hundred".