85844086241958 has 384 divisors, whose sum is σ = 213448120704000. Its totient is φ = 25551207475200.

The previous prime is 85844086241923. The next prime is 85844086241959. The reversal of 85844086241958 is 85914268044858.

85844086241958 is a `hidden beast` number, since 8 + 5 + 8 + 4 + 408 + 6 + 24 + 195 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85844086241959) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 53022906073 + ... + 53022907691.

It is an arithmetic number, because the mean of its divisors is an integer number (555854481000).

Almost surely, 2^{85844086241958} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85844086241958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106724060352000).

85844086241958 is an abundant number, since it is smaller than the sum of its proper divisors (127604034462042).

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

85844086241958 is a wasteful number, since it uses less digits than its factorization.

85844086241958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 707788800, while the sum is 72.

The spelling of 85844086241958 in words is "eighty-five trillion, eight hundred forty-four billion, eighty-six million, two hundred forty-one thousand, nine hundred fifty-eight".