165671304960 has 864 divisors, whose sum is σ = 657932792832. Its totient is φ = 35404185600.

The previous prime is 165671304923. The next prime is 165671304989. The reversal of 165671304960 is 69403176561.

It is a super-3 number, since 3×165671304960³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097160885 + ... + 1097161035.

It is an arithmetic number, because the mean of its divisors is an integer number (761496288).

Almost surely, 2^165671304960 is an apocalyptic number.

165671304960 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 165671304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328966396416).

165671304960 is an abundant number, since it is smaller than the sum of its proper divisors (492261487872).

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

165671304960 is an frugal number, since it uses more digits than its factorization.

165671304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 165671304960 in words is "one hundred sixty-five billion, six hundred seventy-one million, three hundred four thousand, nine hundred sixty".