220788911808 has 448 divisors, whose sum is σ = 696309504000. Its totient is φ = 68474585088.

The previous prime is 220788911771. The next prime is 220788911809. The reversal of 220788911808 is 808119887022.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (220788911809) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 170229816 + ... + 170231112.

Almost surely, 2^220788911808 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 220788911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348154752000).

220788911808 is an abundant number, since it is smaller than the sum of its proper divisors (475520592192).

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

220788911808 is a wasteful number, since it uses less digits than its factorization.

220788911808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 220788911808 in words is "two hundred twenty billion, seven hundred eighty-eight million, nine hundred eleven thousand, eight hundred eight".