220448666880 has 1008 divisors, whose sum is σ = 903600850320. Its totient is φ = 51024494592.

The previous prime is 220448666861. The next prime is 220448666891. The reversal of 220448666880 is 88666844022.

It can be written as a sum of positive squares in 8 ways, for example, as 3978077184 + 216470589696 = 63072^2 + 465264^2 .

It is a super-2 number, since 2×220448666880² (a number of 23 digits) contains 22 as substring.

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

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 111 ways as a sum of consecutive naturals, for example, 206218986 + ... + 206220054.

It is an arithmetic number, because the mean of its divisors is an integer number (896429415).

Almost surely, 2^220448666880 is an apocalyptic number.

220448666880 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 220448666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451800425160).

220448666880 is an abundant number, since it is smaller than the sum of its proper divisors (683152183440).

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

220448666880 is a wasteful number, since it uses less digits than its factorization.

220448666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 220448666880 in words is "two hundred twenty billion, four hundred forty-eight million, six hundred sixty-six thousand, eight hundred eighty".