82659075840 has 864 divisors, whose sum is σ = 327843210240. Its totient is φ = 19043942400.

The previous prime is 82659075833. The next prime is 82659075857. The reversal of 82659075840 is 4857095628.

82659075840 is a `hidden beast` number, since 8 + 2 + 6 + 59 + 0 + 7 + 584 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305014905 + ... + 305015175.

It is an arithmetic number, because the mean of its divisors is an integer number (379448160).

Almost surely, 2^82659075840 is an apocalyptic number.

82659075840 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 82659075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163921605120).

82659075840 is an abundant number, since it is smaller than the sum of its proper divisors (245184134400).

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

82659075840 is a wasteful number, since it uses less digits than its factorization.

82659075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 82659075840 in words is "eighty-two billion, six hundred fifty-nine million, seventy-five thousand, eight hundred forty".