220891608000 has 2016 divisors, whose sum is σ = 1014729431040. Its totient is φ = 45519667200.

The previous prime is 220891607987. The next prime is 220891608019. The reversal of 220891608000 is 806198022.

220891608000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×220891608000³ (a number of 35 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1739303937 + ... + 1739304063.

Almost surely, 2^220891608000 is an apocalyptic number.

220891608000 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 220891608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507364715520).

220891608000 is an abundant number, since it is smaller than the sum of its proper divisors (793837823040).

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

220891608000 is a wasteful number, since it uses less digits than its factorization.

220891608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 220891608000 in words is "two hundred twenty billion, eight hundred ninety-one million, six hundred eight thousand".