165171041280 has 528 divisors, whose sum is σ = 660940600320. Its totient is φ = 37357092864.

The previous prime is 165171041257. The next prime is 165171041291. The reversal of 165171041280 is 82140171561.

165171041280 is a `hidden beast` number, since 1 + 6 + 517 + 10 + 4 + 128 + 0 = 666.

It is a super-3 number, since 3×165171041280³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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, 31285681 + ... + 31290959.

It is an arithmetic number, because the mean of its divisors is an integer number (1251781440).

Almost surely, 2^165171041280 is an apocalyptic number.

165171041280 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 165171041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330470300160).

165171041280 is an abundant number, since it is smaller than the sum of its proper divisors (495769559040).

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

165171041280 is a wasteful number, since it uses less digits than its factorization.

165171041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 165171041280 in words is "one hundred sixty-five billion, one hundred seventy-one million, forty-one thousand, two hundred eighty".