220263722880 has 256 divisors, whose sum is σ = 756235180800. Its totient is φ = 54351101952.

The previous prime is 220263722879. The next prime is 220263722891. The reversal of 220263722880 is 88227362022.

220263722880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220263722880² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1498432 + ... + 1638848.

It is an arithmetic number, because the mean of its divisors is an integer number (2954043675).

Almost surely, 2^220263722880 is an apocalyptic number.

220263722880 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 220263722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378117590400).

220263722880 is an abundant number, since it is smaller than the sum of its proper divisors (535971457920).

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

220263722880 is a wasteful number, since it uses less digits than its factorization.

220263722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140501 (or 140489 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 220263722880 in words is "two hundred twenty billion, two hundred sixty-three million, seven hundred twenty-two thousand, eight hundred eighty".