165506606565160 has 128 divisors (see below), whose sum is σ = 426465201657600. Its totient is φ = 56628238970880.

The previous prime is 165506606565143. The next prime is 165506606565161. The reversal of 165506606565160 is 61565606605561.

It is a junction number, because it is equal to n+sod(n) for n = 165506606565095 and 165506606565104.

It is not an unprimeable number, because it can be changed into a prime (165506606565161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671852624 + ... + 1671951616.

It is an arithmetic number, because the mean of its divisors is an integer number (3331759387950).

Almost surely, 2^{165506606565160} is an apocalyptic number.

165506606565160 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 165506606565160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213232600828800).

165506606565160 is an abundant number, since it is smaller than the sum of its proper divisors (260958595092440).

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

165506606565160 is a wasteful number, since it uses less digits than its factorization.

165506606565160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111251 (or 111247 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 58.

The spelling of 165506606565160 in words is "one hundred sixty-five trillion, five hundred six billion, six hundred six million, five hundred sixty-five thousand, one hundred sixty".