85600097248 has 48 divisors (see below), whose sum is σ = 172838413440. Its totient is φ = 41709177216.

The previous prime is 85600097243. The next prime is 85600097249. The reversal of 85600097248 is 84279000658.

It is a super-3 number, since 3×85600097248³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85600097243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533211 + ... + 674917.

It is an arithmetic number, because the mean of its divisors is an integer number (3600800280).

Almost surely, 2^85600097248 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 85600097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86419206720).

85600097248 is an abundant number, since it is smaller than the sum of its proper divisors (87238316192).

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

85600097248 is a wasteful number, since it uses less digits than its factorization.

85600097248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142199 (or 142191 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 85600097248 in words is "eighty-five billion, six hundred million, ninety-seven thousand, two hundred forty-eight".