85665201336 has 192 divisors, whose sum is σ = 272776533120. Its totient is φ = 23944239360.

The previous prime is 85665201329. The next prime is 85665201341. The reversal of 85665201336 is 63310256658.

85665201336 is a `hidden beast` number, since 8 + 56 + 65 + 201 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85665201291 and 85665201300.

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 47 ways as a sum of consecutive naturals, for example, 19632291 + ... + 19636653.

It is an arithmetic number, because the mean of its divisors is an integer number (1420711110).

Almost surely, 2^85665201336 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 85665201336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136388266560).

85665201336 is an abundant number, since it is smaller than the sum of its proper divisors (187111331784).

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

85665201336 is a wasteful number, since it uses less digits than its factorization.

85665201336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 85665201336 in words is "eighty-five billion, six hundred sixty-five million, two hundred one thousand, three hundred thirty-six".