85317333696 has 1120 divisors, whose sum is σ = 334582617600. Its totient is φ = 20901888000.

The previous prime is 85317333659. The next prime is 85317333709. The reversal of 85317333696 is 69633371358.

85317333696 is a `hidden beast` number, since 8 + 53 + 173 + 336 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 339909571 + ... + 339909821.

It is an arithmetic number, because the mean of its divisors is an integer number (298734480).

Almost surely, 2^85317333696 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 85317333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167291308800).

85317333696 is an abundant number, since it is smaller than the sum of its proper divisors (249265283904).

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

85317333696 is a wasteful number, since it uses less digits than its factorization.

85317333696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 85317333696 in words is "eighty-five billion, three hundred seventeen million, three hundred thirty-three thousand, six hundred ninety-six".