10085608176 has 160 divisors (see below), whose sum is σ = 30551758848. Its totient is φ = 2807162880.

The previous prime is 10085608147. The next prime is 10085608187. The reversal of 10085608176 is 67180658001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678166 + ... + 3680906.

Almost surely, 2^10085608176 is an apocalyptic number.

10085608176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085608176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275879424).

10085608176 is an abundant number, since it is smaller than the sum of its proper divisors (20466150672).

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

10085608176 is a wasteful number, since it uses less digits than its factorization.

10085608176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 10085608176 in words is "ten billion, eighty-five million, six hundred eight thousand, one hundred seventy-six".