171973992960 has 1920 divisors, whose sum is σ = 794212024320. Its totient is φ = 33354547200.

The previous prime is 171973992943. The next prime is 171973992989. The reversal of 171973992960 is 69299379171.

171973992960 is a `hidden beast` number, since 1 + 71 + 97 + 399 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×171973992960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2914813411 + ... + 2914813469.

It is an arithmetic number, because the mean of its divisors is an integer number (413652096).

Almost surely, 2^171973992960 is an apocalyptic number.

171973992960 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 171973992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397106012160).

171973992960 is an abundant number, since it is smaller than the sum of its proper divisors (622238031360).

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

171973992960 is a wasteful number, since it uses less digits than its factorization.

171973992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 11573604, while the sum is 63.

The spelling of 171973992960 in words is "one hundred seventy-one billion, nine hundred seventy-three million, nine hundred ninety-two thousand, nine hundred sixty".