85170097584 has 360 divisors, whose sum is σ = 286977621840. Its totient is φ = 23416335360.

The previous prime is 85170097577. The next prime is 85170097589. The reversal of 85170097584 is 48579007158.

85170097584 is a `hidden beast` number, since 8 + 51 + 7 + 0 + 0 + 9 + 7 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85170097584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85170097589) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13361022 + ... + 13367394.

Almost surely, 2^85170097584 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 85170097584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143488810920).

85170097584 is an abundant number, since it is smaller than the sum of its proper divisors (201807524256).

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

85170097584 is a wasteful number, since it uses less digits than its factorization.

85170097584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 85170097584 in words is "eighty-five billion, one hundred seventy million, ninety-seven thousand, five hundred eighty-four".