82219931066880 has 960 divisors, whose sum is σ = 294387770476800. Its totient is φ = 21194848862208.

The previous prime is 82219931066879. The next prime is 82219931066887. The reversal of 82219931066880 is 8866013991228.

82219931066880 is a `hidden beast` number, since 8 + 221 + 99 + 310 + 6 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (82219931066887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58770500421 + ... + 58770501819.

It is an arithmetic number, because the mean of its divisors is an integer number (306653927580).

Almost surely, 2^{82219931066880} is an apocalyptic number.

82219931066880 is a gapful number since it is divisible by the number (80) 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 82219931066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147193885238400).

82219931066880 is an abundant number, since it is smaller than the sum of its proper divisors (212167839409920).

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

82219931066880 is a wasteful number, since it uses less digits than its factorization.

82219931066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 82219931066880 in words is "eighty-two trillion, two hundred nineteen billion, nine hundred thirty-one million, sixty-six thousand, eight hundred eighty".