85476402176 has 352 divisors, whose sum is σ = 208271278080. Its totient is φ = 34630041600.

The previous prime is 85476402173. The next prime is 85476402181. The reversal of 85476402176 is 67120467458.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (85476402173) 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, 232905545 + ... + 232905911.

Almost surely, 2^85476402176 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 85476402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104135639040).

85476402176 is an abundant number, since it is smaller than the sum of its proper divisors (122794875904).

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

85476402176 is a wasteful number, since it uses less digits than its factorization.

85476402176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 85476402176 in words is "eighty-five billion, four hundred seventy-six million, four hundred two thousand, one hundred seventy-six".