82035695808 has 504 divisors, whose sum is σ = 275426424000. Its totient is φ = 24009177600.

The previous prime is 82035695803. The next prime is 82035695827. The reversal of 82035695808 is 80859653028.

82035695808 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 56 + 9 + 580 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82035695803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164399943 + ... + 164400441.

It is an arithmetic number, because the mean of its divisors is an integer number (546481000).

Almost surely, 2^82035695808 is an apocalyptic number.

82035695808 is a gapful number since it is divisible by the number (88) 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 82035695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137713212000).

82035695808 is an abundant number, since it is smaller than the sum of its proper divisors (193390728192).

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

82035695808 is a wasteful number, since it uses less digits than its factorization.

82035695808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 82035695808 in words is "eighty-two billion, thirty-five million, six hundred ninety-five thousand, eight hundred eight".