86173661772 has 144 divisors (see below), whose sum is σ = 241829812224. Its totient is φ = 25655760000.

The previous prime is 86173661767. The next prime is 86173661797. The reversal of 86173661772 is 27716637168.

86173661772 is a `hidden beast` number, since 8 + 6 + 17 + 3 + 6 + 617 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5231253 + ... + 5247699.

It is an arithmetic number, because the mean of its divisors is an integer number (1679373696).

Almost surely, 2^86173661772 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 86173661772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120914906112).

86173661772 is an abundant number, since it is smaller than the sum of its proper divisors (155656150452).

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

86173661772 is a wasteful number, since it uses less digits than its factorization.

86173661772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16700 (or 16695 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 86173661772 in words is "eighty-six billion, one hundred seventy-three million, six hundred sixty-one thousand, seven hundred seventy-two".