82910422671104 has 432 divisors, whose sum is σ = 199701720630720. Its totient is φ = 33640361164800.

The previous prime is 82910422671023. The next prime is 82910422671113. The reversal of 82910422671104 is 40117622401928.

It is a super-2 number, since 2×82910422671104² (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 37330220714 + ... + 37330222934.

It is an arithmetic number, because the mean of its divisors is an integer number (462272501460).

Almost surely, 2^{82910422671104} 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 82910422671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99850860315360).

82910422671104 is an abundant number, since it is smaller than the sum of its proper divisors (116791297959616).

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

82910422671104 is a wasteful number, since it uses less digits than its factorization.

82910422671104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 82910422671104 in words is "eighty-two trillion, nine hundred ten billion, four hundred twenty-two million, six hundred seventy-one thousand, one hundred four".