82856623680 has 588 divisors, whose sum is σ = 314498530260. Its totient is φ = 20778467328.

The previous prime is 82856623679. The next prime is 82856623721. The reversal of 82856623680 is 8632665828.

82856623680 is a `hidden beast` number, since 8 + 2 + 8 + 5 + 6 + 623 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23386973184 + 59469650496 = 152928^2 + 243864^2 .

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

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 83 ways as a sum of consecutive naturals, for example, 67417306 + ... + 67418534.

Almost surely, 2^82856623680 is an apocalyptic number.

82856623680 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 82856623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157249265130).

82856623680 is an abundant number, since it is smaller than the sum of its proper divisors (231641906580).

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

82856623680 is a wasteful number, since it uses less digits than its factorization.

82856623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 82856623680 in words is "eighty-two billion, eight hundred fifty-six million, six hundred twenty-three thousand, six hundred eighty".