220541330880 has 1120 divisors, whose sum is σ = 894203025408. Its totient is φ = 51209625600.

The previous prime is 220541330839. The next prime is 220541330903. The reversal of 220541330880 is 88033145022.

220541330880 is a `hidden beast` number, since 2 + 2 + 0 + 541 + 3 + 30 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 449167435 + ... + 449167925.

Almost surely, 2^220541330880 is an apocalyptic number.

220541330880 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 220541330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447101512704).

220541330880 is an abundant number, since it is smaller than the sum of its proper divisors (673661694528).

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

220541330880 is a wasteful number, since it uses less digits than its factorization.

220541330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 220541330880 in words is "two hundred twenty billion, five hundred forty-one million, three hundred thirty thousand, eight hundred eighty".