85642966112 has 192 divisors, whose sum is σ = 206404511040. Its totient is φ = 34509619200.

The previous prime is 85642966109. The next prime is 85642966121. The reversal of 85642966112 is 21166924658.

It is a super-2 number, since 2×85642966112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7108958 + ... + 7120994.

It is an arithmetic number, because the mean of its divisors is an integer number (1075023495).

Almost surely, 2^85642966112 is an apocalyptic number.

85642966112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85642966112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103202255520).

85642966112 is an abundant number, since it is smaller than the sum of its proper divisors (120761544928).

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

85642966112 is a wasteful number, since it uses less digits than its factorization.

85642966112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12145 (or 12137 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The spelling of 85642966112 in words is "eighty-five billion, six hundred forty-two million, nine hundred sixty-six thousand, one hundred twelve".