85346758688 has 96 divisors (see below), whose sum is σ = 177248010240. Its totient is φ = 40398624000.

The previous prime is 85346758687. The next prime is 85346758703. The reversal of 85346758688 is 88685764358.

It is not an unprimeable number, because it can be changed into a prime (85346758687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12345953 + ... + 12352863.

It is an arithmetic number, because the mean of its divisors is an integer number (1846333440).

Almost surely, 2^85346758688 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 85346758688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88624005120).

85346758688 is an abundant number, since it is smaller than the sum of its proper divisors (91901251552).

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

85346758688 is a wasteful number, since it uses less digits than its factorization.

85346758688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7214 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 68.

The spelling of 85346758688 in words is "eighty-five billion, three hundred forty-six million, seven hundred fifty-eight thousand, six hundred eighty-eight".