171129692160 has 1344 divisors, whose sum is σ = 741943867392. Its totient is φ = 35597058048.

The previous prime is 171129692159. The next prime is 171129692161. The reversal of 171129692160 is 61296921171.

It is an interprime number because it is at equal distance from previous prime (171129692159) and next prime (171129692161).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171129692161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2061803479 + ... + 2061803561.

It is an arithmetic number, because the mean of its divisors is an integer number (552041568).

Almost surely, 2^171129692160 is an apocalyptic number.

171129692160 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 171129692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370971933696).

171129692160 is an abundant number, since it is smaller than the sum of its proper divisors (570814175232).

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

171129692160 is a wasteful number, since it uses less digits than its factorization.

171129692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 171129692160 in words is "one hundred seventy-one billion, one hundred twenty-nine million, six hundred ninety-two thousand, one hundred sixty".