85194125568 has 360 divisors, whose sum is σ = 268819423488. Its totient is φ = 26780295168.

The previous prime is 85194125563. The next prime is 85194125573. The reversal of 85194125568 is 86552149158.

85194125568 is a `hidden beast` number, since 8 + 5 + 19 + 41 + 25 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (85194125563) and next prime (85194125573).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85194125563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34814521 + ... + 34816967.

Almost surely, 2^85194125568 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 85194125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134409711744).

85194125568 is an abundant number, since it is smaller than the sum of its proper divisors (183625297920).

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

85194125568 is a wasteful number, since it uses less digits than its factorization.

85194125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2548 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 85194125568 in words is "eighty-five billion, one hundred ninety-four million, one hundred twenty-five thousand, five hundred sixty-eight".