220432504032 has 192 divisors, whose sum is σ = 692955648000. Its totient is φ = 67769409024.

The previous prime is 220432504021. The next prime is 220432504049. The reversal of 220432504032 is 230405234022.

It is a happy number.

220432504032 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 3 + 250 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220432503987 and 220432504005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14807569 + ... + 14822447.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144000).

Almost surely, 2^220432504032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220432504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346477824000).

220432504032 is an abundant number, since it is smaller than the sum of its proper divisors (472523143968).

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

220432504032 is a wasteful number, since it uses less digits than its factorization.

220432504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16230 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 220432504032 its reverse (230405234022), we get a palindrome (450837738054).

The spelling of 220432504032 in words is "two hundred twenty billion, four hundred thirty-two million, five hundred four thousand, thirty-two".