168971132160 has 360 divisors, whose sum is σ = 614544244776. Its totient is φ = 44318638080.

The previous prime is 168971132129. The next prime is 168971132179. The reversal of 168971132160 is 61231179861.

It can be written as a sum of positive squares in 4 ways, for example, as 3367713024 + 165603419136 = 58032^2 + 406944^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 6311122 + ... + 6337838.

Almost surely, 2^168971132160 is an apocalyptic number.

168971132160 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 168971132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307272122388).

168971132160 is an abundant number, since it is smaller than the sum of its proper divisors (445573112616).

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

168971132160 is an equidigital number, since it uses as much as digits as its factorization.

168971132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26811 (or 26788 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 168971132160 in words is "one hundred sixty-eight billion, nine hundred seventy-one million, one hundred thirty-two thousand, one hundred sixty".