165571616760 has 128 divisors (see below), whose sum is σ = 543424896000. Its totient is φ = 40023452160.

The previous prime is 165571616741. The next prime is 165571616767. The reversal of 165571616760 is 67616175561.

165571616760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×165571616760³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165571616767) 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, 280977 + ... + 640383.

It is an arithmetic number, because the mean of its divisors is an integer number (4245507000).

Almost surely, 2^165571616760 is an apocalyptic number.

165571616760 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 165571616760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271712448000).

165571616760 is an abundant number, since it is smaller than the sum of its proper divisors (377853279240).

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

165571616760 is a wasteful number, since it uses less digits than its factorization.

165571616760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359781 (or 359777 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 165571616760 in words is "one hundred sixty-five billion, five hundred seventy-one million, six hundred sixteen thousand, seven hundred sixty".