85692166262016 has 288 divisors, whose sum is σ = 235259694286848. Its totient is φ = 27670017024000.

The previous prime is 85692166262011. The next prime is 85692166262039. The reversal of 85692166262016 is 61026266129658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85692166262011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24296047645 + ... + 24296051171.

It is an arithmetic number, because the mean of its divisors is an integer number (816873938496).

Almost surely, 2^{85692166262016} 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 85692166262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117629847143424).

85692166262016 is an abundant number, since it is smaller than the sum of its proper divisors (149567528024832).

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

85692166262016 is a wasteful number, since it uses less digits than its factorization.

85692166262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 85692166262016 in words is "eighty-five trillion, six hundred ninety-two billion, one hundred sixty-six million, two hundred sixty-two thousand, sixteen".