85581173248 has 160 divisors (see below), whose sum is σ = 186988032000. Its totient is φ = 39007457280.

The previous prime is 85581173239. The next prime is 85581173257. The reversal of 85581173248 is 84237118558.

It is an interprime number because it is at equal distance from previous prime (85581173239) and next prime (85581173257).

It is a junction number, because it is equal to n+sod(n) for n = 85581173195 and 85581173204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24457003 + ... + 24460501.

It is an arithmetic number, because the mean of its divisors is an integer number (1168675200).

Almost surely, 2^85581173248 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 85581173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93494016000).

85581173248 is an abundant number, since it is smaller than the sum of its proper divisors (101406858752).

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

85581173248 is a wasteful number, since it uses less digits than its factorization.

85581173248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3622 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 52.

The spelling of 85581173248 in words is "eighty-five billion, five hundred eighty-one million, one hundred seventy-three thousand, two hundred forty-eight".