85670596752 has 120 divisors (see below), whose sum is σ = 241261344000. Its totient is φ = 26182900224.

The previous prime is 85670596717. The next prime is 85670596771. The reversal of 85670596752 is 25769507658.

It is a super-2 number, since 2×85670596752² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173249 + ... + 1244127.

It is an arithmetic number, because the mean of its divisors is an integer number (2010511200).

Almost surely, 2^85670596752 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 85670596752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120630672000).

85670596752 is an abundant number, since it is smaller than the sum of its proper divisors (155590747248).

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

85670596752 is a wasteful number, since it uses less digits than its factorization.

85670596752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71065 (or 71046 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 85670596752 in words is "eighty-five billion, six hundred seventy million, five hundred ninety-six thousand, seven hundred fifty-two".