171201753216 has 384 divisors, whose sum is σ = 544326182400. Its totient is φ = 51327074304.

The previous prime is 171201753127. The next prime is 171201753221. The reversal of 171201753216 is 612357102171.

171201753216 is a `hidden beast` number, since 171 + 201 + 75 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97328145 + ... + 97329903.

It is an arithmetic number, because the mean of its divisors is an integer number (1417516100).

Almost surely, 2^171201753216 is an apocalyptic number.

171201753216 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 171201753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272163091200).

171201753216 is an abundant number, since it is smaller than the sum of its proper divisors (373124429184).

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

171201753216 is a wasteful number, since it uses less digits than its factorization.

171201753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 171201753216 its reverse (612357102171), we get a palindrome (783558855387).

The spelling of 171201753216 in words is "one hundred seventy-one billion, two hundred one million, seven hundred fifty-three thousand, two hundred sixteen".