85582306847232 has 1200 divisors, whose sum is σ = 292486355568000. Its totient is φ = 24833449525248.

The previous prime is 85582306847173. The next prime is 85582306847267. The reversal of 85582306847232 is 23274860328558.

85582306847232 is a `hidden beast` number, since 8 + 5 + 58 + 2 + 306 + 8 + 47 + 232 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85582306847232.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31826814144 + ... + 31826816832.

It is an arithmetic number, because the mean of its divisors is an integer number (243738629640).

Almost surely, 2^{85582306847232} 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 85582306847232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146243177784000).

85582306847232 is an abundant number, since it is smaller than the sum of its proper divisors (206904048720768).

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

85582306847232 is a wasteful number, since it uses less digits than its factorization.

85582306847232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 85582306847232 in words is "eighty-five trillion, five hundred eighty-two billion, three hundred six million, eight hundred forty-seven thousand, two hundred thirty-two".