86133353273172 has 72 divisors (see below), whose sum is σ = 217881293292936. Its totient is φ = 28690643460864.

The previous prime is 86133353273159. The next prime is 86133353273207. The reversal of 86133353273172 is 27137235333168.

86133353273172 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 3 + 3 + 532 + 7 + 31 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 846539845776 + 85286813427396 = 920076^2 + 9235086^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298601158 + ... + 298889474.

It is an arithmetic number, because the mean of its divisors is an integer number (3026129073513).

Almost surely, 2^{86133353273172} is an apocalyptic number.

It is an amenable number.

86133353273172 is an abundant number, since it is smaller than the sum of its proper divisors (131747940019764).

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

86133353273172 is a wasteful number, since it uses less digits than its factorization.

86133353273172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294217 (or 294212 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 86133353273172 in words is "eighty-six trillion, one hundred thirty-three billion, three hundred fifty-three million, two hundred seventy-three thousand, one hundred seventy-two".