82668020882220 has 144 divisors (see below), whose sum is σ = 256606055177472. Its totient is φ = 21530896087680.

The previous prime is 82668020882143. The next prime is 82668020882273. The reversal of 82668020882220 is 2228802086628.

82668020882220 is a `hidden beast` number, since 8 + 2 + 66 + 80 + 208 + 82 + 220 = 666.

It is a super-2 number, since 2×82668020882220² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138177849 + ... + 138774831.

It is an arithmetic number, because the mean of its divisors is an integer number (1781986494288).

Almost surely, 2^{82668020882220} 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 82668020882220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128303027588736).

82668020882220 is an abundant number, since it is smaller than the sum of its proper divisors (173938034295252).

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

82668020882220 is a wasteful number, since it uses less digits than its factorization.

82668020882220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614932 (or 614927 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 82668020882220 in words is "eighty-two trillion, six hundred sixty-eight billion, twenty million, eight hundred eighty-two thousand, two hundred twenty".