165170481120 has 288 divisors, whose sum is σ = 587190371040. Its totient is φ = 42241966080.

The previous prime is 165170481107. The next prime is 165170481127. The reversal of 165170481120 is 21184071561.

165170481120 is a `hidden beast` number, since 1 + 6 + 5 + 170 + 481 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165170481127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3459652 + ... + 3507068.

It is an arithmetic number, because the mean of its divisors is an integer number (2038855455).

Almost surely, 2^165170481120 is an apocalyptic number.

165170481120 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 165170481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293595185520).

165170481120 is an abundant number, since it is smaller than the sum of its proper divisors (422019889920).

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

165170481120 is a wasteful number, since it uses less digits than its factorization.

165170481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47538 (or 47527 counting only the distinct ones).

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

The spelling of 165170481120 in words is "one hundred sixty-five billion, one hundred seventy million, four hundred eighty-one thousand, one hundred twenty".