82819865856 has 864 divisors, whose sum is σ = 293965529088. Its totient is φ = 20483850240.

The previous prime is 82819865837. The next prime is 82819865881. The reversal of 82819865856 is 65856891828.

It is a happy number.

It is a super-2 number, since 2×82819865856² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 652124865 + ... + 652124991.

Almost surely, 2^82819865856 is an apocalyptic number.

82819865856 is a gapful number since it is divisible by the number (86) 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 82819865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146982764544).

82819865856 is an abundant number, since it is smaller than the sum of its proper divisors (211145663232).

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

82819865856 is a wasteful number, since it uses less digits than its factorization.

82819865856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 66.

The spelling of 82819865856 in words is "eighty-two billion, eight hundred nineteen million, eight hundred sixty-five thousand, eight hundred fifty-six".