85682583224640 has 280 divisors, whose sum is σ = 312221880393192. Its totient is φ = 22291403489280.

The previous prime is 85682583224617. The next prime is 85682583224659. The reversal of 85682583224640 is 4642238528658.

It is a happy number.

85682583224640 is a `hidden beast` number, since 8 + 5 + 6 + 8 + 2 + 583 + 2 + 2 + 4 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97733765376 + 85584849459264 = 312624^2 + 9251208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39250149 + ... + 41375588.

Almost surely, 2^{85682583224640} is an apocalyptic number.

85682583224640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85682583224640 is an abundant number, since it is smaller than the sum of its proper divisors (226539297168552).

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

85682583224640 is a wasteful number, since it uses less digits than its factorization.

85682583224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80625807 (or 80625788 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 85682583224640 in words is "eighty-five trillion, six hundred eighty-two billion, five hundred eighty-three million, two hundred twenty-four thousand, six hundred forty".