165671835462120 has 512 divisors, whose sum is σ = 576732615782400. Its totient is φ = 37722087825408.

The previous prime is 165671835462047. The next prime is 165671835462173. The reversal of 165671835462120 is 21264538176561.

165671835462120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3699909172 + ... + 3699953948.

It is an arithmetic number, because the mean of its divisors is an integer number (1126430890200).

Almost surely, 2^{165671835462120} is an apocalyptic number.

165671835462120 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 165671835462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288366307891200).

165671835462120 is an abundant number, since it is smaller than the sum of its proper divisors (411060780320280).

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

165671835462120 is a wasteful number, since it uses less digits than its factorization.

165671835462120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47769 (or 47765 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 165671835462120 in words is "one hundred sixty-five trillion, six hundred seventy-one billion, eight hundred thirty-five million, four hundred sixty-two thousand, one hundred twenty".