171271138016160 has 768 divisors, whose sum is σ = 781182415641600. Its totient is φ = 34010660339712.

The previous prime is 171271138016113. The next prime is 171271138016189. The reversal of 171271138016160 is 61610831172171.

171271138016160 is a `hidden beast` number, since 1 + 7 + 1 + 27 + 1 + 1 + 3 + 8 + 0 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×171271138016160² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6130825 + ... + 19496904.

It is an arithmetic number, because the mean of its divisors is an integer number (1017164603700).

Almost surely, 2^{171271138016160} is an apocalyptic number.

171271138016160 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 171271138016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390591207820800).

171271138016160 is an abundant number, since it is smaller than the sum of its proper divisors (609911277625440).

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

171271138016160 is a wasteful number, since it uses less digits than its factorization.

171271138016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25627790 (or 25627776 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 171271138016160 in words is "one hundred seventy-one trillion, two hundred seventy-one billion, one hundred thirty-eight million, sixteen thousand, one hundred sixty".