85115173248 has 480 divisors, whose sum is σ = 296311672800. Its totient is φ = 24182323200.

The previous prime is 85115173223. The next prime is 85115173267. The reversal of 85115173248 is 84237151158.

85115173248 is a `hidden beast` number, since 85 + 11 + 517 + 3 + 2 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 121419298 + ... + 121419998.

It is an arithmetic number, because the mean of its divisors is an integer number (617315985).

Almost surely, 2^85115173248 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 85115173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148155836400).

85115173248 is an abundant number, since it is smaller than the sum of its proper divisors (211196499552).

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

85115173248 is a wasteful number, since it uses less digits than its factorization.

85115173248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 952 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 85115173248 in words is "eighty-five billion, one hundred fifteen million, one hundred seventy-three thousand, two hundred forty-eight".