165605442311000 has 256 divisors, whose sum is σ = 397051770360960. Its totient is φ = 64626705561600.

The previous prime is 165605442310937. The next prime is 165605442311077. The reversal of 165605442311000 is 113244506561.

165605442311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26697633899 + ... + 26697640101.

Almost surely, 2^{165605442311000} is an apocalyptic number.

165605442311000 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 165605442311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198525885180480).

165605442311000 is an abundant number, since it is smaller than the sum of its proper divisors (231446328049960).

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

165605442311000 is a wasteful number, since it uses less digits than its factorization.

165605442311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9031 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 165605442311000 its reverse (113244506561), we get a palindrome (165718686817561).

The spelling of 165605442311000 in words is "one hundred sixty-five trillion, six hundred five billion, four hundred forty-two million, three hundred eleven thousand".