85773175416 has 288 divisors, whose sum is σ = 249647346000. Its totient is φ = 26563654656.

The previous prime is 85773175391. The next prime is 85773175417. The reversal of 85773175416 is 61457137758.

85773175416 is a `hidden beast` number, since 8 + 57 + 7 + 3 + 175 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85773175417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 963743500 + ... + 963743588.

Almost surely, 2^85773175416 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 85773175416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124823673000).

85773175416 is an abundant number, since it is smaller than the sum of its proper divisors (163874170584).

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

85773175416 is a wasteful number, since it uses less digits than its factorization.

85773175416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 273 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The spelling of 85773175416 in words is "eighty-five billion, seven hundred seventy-three million, one hundred seventy-five thousand, four hundred sixteen".