171130326551040 has 960 divisors, whose sum is σ = 637419583785600. Its totient is φ = 38920390705152.

The previous prime is 171130326551033. The next prime is 171130326551069. The reversal of 171130326551040 is 40155623031171.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 171130326551040.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1312193356 + ... + 1312323764.

It is an arithmetic number, because the mean of its divisors is an integer number (663978733110).

Almost surely, 2^{171130326551040} is an apocalyptic number.

171130326551040 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 171130326551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318709791892800).

171130326551040 is an abundant number, since it is smaller than the sum of its proper divisors (466289257234560).

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

171130326551040 is a wasteful number, since it uses less digits than its factorization.

171130326551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130517 (or 130478 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 171130326551040 in words is "one hundred seventy-one trillion, one hundred thirty billion, three hundred twenty-six million, five hundred fifty-one thousand, forty".