85394340160 has 112 divisors (see below), whose sum is σ = 215792456400. Its totient is φ = 32075939840.

The previous prime is 85394340149. The next prime is 85394340167. The reversal of 85394340160 is 6104349358.

It can be written as a sum of positive squares in 8 ways, for example, as 592240896 + 84802099264 = 24336^2 + 291208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85394340167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2425080 + ... + 2460040.

Almost surely, 2^85394340160 is an apocalyptic number.

85394340160 is a gapful number since it is divisible by the number (80) 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 85394340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107896228200).

85394340160 is an abundant number, since it is smaller than the sum of its proper divisors (130398116240).

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

85394340160 is a wasteful number, since it uses less digits than its factorization.

85394340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35444 (or 35434 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 85394340160 in words is "eighty-five billion, three hundred ninety-four million, three hundred forty thousand, one hundred sixty".