171272852213760 has 2496 divisors, whose sum is σ = 694277964866304. Its totient is φ = 40140118425600.

The previous prime is 171272852213753. The next prime is 171272852213791. The reversal of 171272852213760 is 67312258272171.

171272852213760 is a `hidden beast` number, since 1 + 7 + 1 + 2 + 7 + 28 + 522 + 1 + 37 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 171272852213697 and 171272852213706.

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, 307491655402 + ... + 307491655958.

It is an arithmetic number, because the mean of its divisors is an integer number (278156235924).

Almost surely, 2^{171272852213760} is an apocalyptic number.

171272852213760 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 171272852213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347138982433152).

171272852213760 is an abundant number, since it is smaller than the sum of its proper divisors (523005112652544).

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

171272852213760 is a wasteful number, since it uses less digits than its factorization.

171272852213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 171272852213760 in words is "one hundred seventy-one trillion, two hundred seventy-two billion, eight hundred fifty-two million, two hundred thirteen thousand, seven hundred sixty".