85161466170 has 768 divisors, whose sum is σ = 284146237440. Its totient is φ = 17563392000.

The previous prime is 85161466141. The next prime is 85161466177. The reversal of 85161466170 is 7166416158.

85161466170 is a `hidden beast` number, since 8 + 5 + 16 + 1 + 466 + 170 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85161466177) 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 383 ways as a sum of consecutive naturals, for example, 1199457235 + ... + 1199457305.

It is an arithmetic number, because the mean of its divisors is an integer number (369982080).

Almost surely, 2^85161466170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85161466170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142073118720).

85161466170 is an abundant number, since it is smaller than the sum of its proper divisors (198984771270).

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

85161466170 is a wasteful number, since it uses less digits than its factorization.

85161466170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 85161466170 in words is "eighty-five billion, one hundred sixty-one million, four hundred sixty-six thousand, one hundred seventy".