85694809140096 has 512 divisors, whose sum is σ = 269871118070400. Its totient is φ = 23839088050176.

The previous prime is 85694809140071. The next prime is 85694809140137. The reversal of 85694809140096 is 69004190849658.

It is a self number, because there is not a number n which added to its sum of digits gives 85694809140096.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 484739656 + ... + 484916408.

Almost surely, 2^{85694809140096} 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 85694809140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134935559035200).

85694809140096 is an abundant number, since it is smaller than the sum of its proper divisors (184176308930304).

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

85694809140096 is a wasteful number, since it uses less digits than its factorization.

85694809140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177026 (or 177014 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 85694809140096 in words is "eighty-five trillion, six hundred ninety-four billion, eight hundred nine million, one hundred forty thousand, ninety-six".