85834442092 has 144 divisors (see below), whose sum is σ = 184381475040. Its totient is φ = 34811707392.

The previous prime is 85834442087. The next prime is 85834442137. The reversal of 85834442092 is 29024443858.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97872358 + ... + 97873234.

It is an arithmetic number, because the mean of its divisors is an integer number (1280426910).

Almost surely, 2^85834442092 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 85834442092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92190737520).

85834442092 is an abundant number, since it is smaller than the sum of its proper divisors (98547032948).

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

85834442092 is a wasteful number, since it uses less digits than its factorization.

85834442092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 85834442092 in words is "eighty-five billion, eight hundred thirty-four million, four hundred forty-two thousand, ninety-two".