1085407218171 has 24 divisors (see below), whose sum is σ = 1590987091200. Its totient is φ = 712978499376.

The previous prime is 1085407218131. The next prime is 1085407218179. The reversal of 1085407218171 is 1718127045801.

1085407218171 is a `hidden beast` number, since 1 + 0 + 8 + 540 + 7 + 21 + 81 + 7 + 1 = 666.

It is not a de Polignac number, because 1085407218171 - 2¹⁸ = 1085406956027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1085407218179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757441 + ... + 3126386.

It is an arithmetic number, because the mean of its divisors is an integer number (66291128800).

Almost surely, 2^{1085407218171} is an apocalyptic number.

1085407218171 is a deficient number, since it is larger than the sum of its proper divisors (505579873029).

1085407218171 is a wasteful number, since it uses less digits than its factorization.

1085407218171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884135 (or 5884132 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 1085407218171 in words is "one trillion, eighty-five billion, four hundred seven million, two hundred eighteen thousand, one hundred seventy-one".