171865105413120 has 3168 divisors, whose sum is σ = 749816217907200. Its totient is φ = 37176822595584.

The previous prime is 171865105413119. The next prime is 171865105413143. The reversal of 171865105413120 is 21314501568171.

171865105413120 is a `hidden beast` number, since 1 + 7 + 1 + 8 + 6 + 5 + 105 + 413 + 120 = 666.

It is a super-2 number, since 2×171865105413120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1353268546497 + ... + 1353268546623.

Almost surely, 2^{171865105413120} is an apocalyptic number.

171865105413120 is a gapful number since it is divisible by the number (10) 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 171865105413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374908108953600).

171865105413120 is an abundant number, since it is smaller than the sum of its proper divisors (577951112494080).

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

171865105413120 is a wasteful number, since it uses less digits than its factorization.

171865105413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 171865105413120 in words is "one hundred seventy-one trillion, eight hundred sixty-five billion, one hundred five million, four hundred thirteen thousand, one hundred twenty".