82589363340120 has 768 divisors, whose sum is σ = 333419299799040. Its totient is φ = 17264325464064.

The previous prime is 82589363340103. The next prime is 82589363340151. The reversal of 82589363340120 is 2104336398528.

82589363340120 is a `hidden beast` number, since 8 + 2 + 589 + 3 + 6 + 3 + 3 + 40 + 12 + 0 = 666.

It is a super-2 number, since 2×82589363340120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3091253002 + ... + 3091279718.

It is an arithmetic number, because the mean of its divisors is an integer number (434139713280).

Almost surely, 2^{82589363340120} 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 82589363340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166709649899520).

82589363340120 is an abundant number, since it is smaller than the sum of its proper divisors (250829936458920).

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

82589363340120 is a wasteful number, since it uses less digits than its factorization.

82589363340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27624 (or 27617 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 82589363340120 in words is "eighty-two trillion, five hundred eighty-nine billion, three hundred sixty-three million, three hundred forty thousand, one hundred twenty".