171216200539296 has 288 divisors, whose sum is σ = 539771415176448. Its totient is φ = 51049173073920.

The previous prime is 171216200539277. The next prime is 171216200539331. The reversal of 171216200539296 is 692935002612171.

171216200539296 is a `hidden beast` number, since 1 + 7 + 1 + 2 + 1 + 620 + 0 + 5 + 3 + 9 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×171216200539296² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47298265 + ... + 50789351.

It is an arithmetic number, because the mean of its divisors is an integer number (1874206302696).

Almost surely, 2^{171216200539296} is an apocalyptic number.

171216200539296 is a gapful number since it is divisible by the number (16) 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 171216200539296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269885707588224).

171216200539296 is an abundant number, since it is smaller than the sum of its proper divisors (368555214637152).

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

171216200539296 is a wasteful number, since it uses less digits than its factorization.

171216200539296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491364 (or 3491353 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 171216200539296 in words is "one hundred seventy-one trillion, two hundred sixteen billion, two hundred million, five hundred thirty-nine thousand, two hundred ninety-six".