82010839680 has 1536 divisors, whose sum is σ = 381506112000. Its totient is φ = 15712911360.

The previous prime is 82010839657. The next prime is 82010839717. The reversal of 82010839680 is 8693801028.

82010839680 is a `hidden beast` number, since 82 + 0 + 108 + 396 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550408246 + ... + 550408394.

It is an arithmetic number, because the mean of its divisors is an integer number (248376375).

Almost surely, 2^82010839680 is an apocalyptic number.

82010839680 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 82010839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190753056000).

82010839680 is an abundant number, since it is smaller than the sum of its proper divisors (299495272320).

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

82010839680 is a wasteful number, since it uses less digits than its factorization.

82010839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 82010839680 in words is "eighty-two billion, ten million, eight hundred thirty-nine thousand, six hundred eighty".