85867374112 has 96 divisors (see below), whose sum is σ = 183780237312. Its totient is φ = 39256648704.

The previous prime is 85867374023. The next prime is 85867374113. The reversal of 85867374112 is 21147376858.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 85867374112.

It is not an unprimeable number, because it can be changed into a prime (85867374113) 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, 57744633 + ... + 57746119.

It is an arithmetic number, because the mean of its divisors is an integer number (1914377472).

Almost surely, 2^85867374112 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 85867374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91890118656).

85867374112 is an abundant number, since it is smaller than the sum of its proper divisors (97912863200).

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

85867374112 is a wasteful number, since it uses less digits than its factorization.

85867374112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2722 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The spelling of 85867374112 in words is "eighty-five billion, eight hundred sixty-seven million, three hundred seventy-four thousand, one hundred twelve".