171160132550400 has 3888 divisors, whose sum is σ = 783338818662400. Its totient is φ = 35596379750400.

The previous prime is 171160132550261. The next prime is 171160132550413. The reversal of 171160132550400 is 4055231061171.

171160132550400 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 60 + 1 + 3 + 2 + 550 + 40 + 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 431 ways as a sum of consecutive naturals, for example, 177001170717 + ... + 177001171683.

Almost surely, 2^{171160132550400} is an apocalyptic number.

171160132550400 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 171160132550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391669409331200).

171160132550400 is an abundant number, since it is smaller than the sum of its proper divisors (612178686112000).

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

171160132550400 is a wasteful number, since it uses less digits than its factorization.

171160132550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 171160132550400 in words is "one hundred seventy-one trillion, one hundred sixty billion, one hundred thirty-two million, five hundred fifty thousand, four hundred".