85170971738496 has 384 divisors, whose sum is σ = 283220615979360. Its totient is φ = 22527652331520.

The previous prime is 85170971738491. The next prime is 85170971738507. The reversal of 85170971738496 is 69483717907158.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85170971738491) 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 47 ways as a sum of consecutive naturals, for example, 17329686 + ... + 21694698.

Almost surely, 2^{85170971738496} 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 85170971738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141610307989680).

85170971738496 is an abundant number, since it is smaller than the sum of its proper divisors (198049644240864).

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

85170971738496 is a wasteful number, since it uses less digits than its factorization.

85170971738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365122 (or 4365103 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 75.

The spelling of 85170971738496 in words is "eighty-five trillion, one hundred seventy billion, nine hundred seventy-one million, seven hundred thirty-eight thousand, four hundred ninety-six".