82068036288 has 224 divisors, whose sum is σ = 252935036928. Its totient is φ = 22999680000.

The previous prime is 82068036283. The next prime is 82068036301. The reversal of 82068036288 is 88263086028.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 82068036288.

It is not an unprimeable number, because it can be changed into a prime (82068036283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22600233 + ... + 22603863.

It is an arithmetic number, because the mean of its divisors is an integer number (1129174272).

Almost surely, 2^82068036288 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 82068036288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126467518464).

82068036288 is an abundant number, since it is smaller than the sum of its proper divisors (170867000640).

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

82068036288 is a wasteful number, since it uses less digits than its factorization.

82068036288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 82068036288 in words is "eighty-two billion, sixty-eight million, thirty-six thousand, two hundred eighty-eight".