171379828512 has 216 divisors, whose sum is σ = 507208092300. Its totient is φ = 56999448576.

The previous prime is 171379828481. The next prime is 171379828517. The reversal of 171379828512 is 215828973171.

171379828512 is a `hidden beast` number, since 1 + 7 + 1 + 37 + 98 + 2 + 8 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169049256336 + 2330572176 = 411156^2 + 48276^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171379828517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169850664 + ... + 169851672.

Almost surely, 2^171379828512 is an apocalyptic number.

171379828512 is a gapful number since it is divisible by the number (12) 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 171379828512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253604046150).

171379828512 is an abundant number, since it is smaller than the sum of its proper divisors (335828263788).

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

171379828512 is an frugal number, since it uses more digits than its factorization.

171379828512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1823 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 171379828512 in words is "one hundred seventy-one billion, three hundred seventy-nine million, eight hundred twenty-eight thousand, five hundred twelve".