171266401080 has 256 divisors, whose sum is σ = 585750528000. Its totient is φ = 44487830016.

The previous prime is 171266401027. The next prime is 171266401091. The reversal of 171266401080 is 80104662171.

It is a happy number.

171266401080 is a `hidden beast` number, since 1 + 7 + 1 + 2 + 6 + 640 + 1 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17781706 + ... + 17791334.

It is an arithmetic number, because the mean of its divisors is an integer number (2288088000).

Almost surely, 2^171266401080 is an apocalyptic number.

171266401080 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 171266401080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292875264000).

171266401080 is an abundant number, since it is smaller than the sum of its proper divisors (414484126920).

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

171266401080 is a wasteful number, since it uses less digits than its factorization.

171266401080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 171266401080 in words is "one hundred seventy-one billion, two hundred sixty-six million, four hundred one thousand, eighty".