85597944768 has 252 divisors, whose sum is σ = 287944834320. Its totient is φ = 24239222784.

The previous prime is 85597944767. The next prime is 85597944787. The reversal of 85597944768 is 86744979558.

85597944768 is a `hidden beast` number, since 8 + 5 + 59 + 79 + 447 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85597944696 and 85597944705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85597944767) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3175893 + ... + 3202731.

Almost surely, 2^85597944768 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 85597944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143972417160).

85597944768 is an abundant number, since it is smaller than the sum of its proper divisors (202346889552).

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

85597944768 is a wasteful number, since it uses less digits than its factorization.

85597944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26984 (or 26964 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 85597944768 in words is "eighty-five billion, five hundred ninety-seven million, nine hundred forty-four thousand, seven hundred sixty-eight".