165582144000 has 1920 divisors, whose sum is σ = 766328808960. Its totient is φ = 34936012800.

The previous prime is 165582143981. The next prime is 165582144001. The reversal of 165582144000 is 441285561.

It is a happy number.

165582144000 is a `hidden beast` number, since 1 + 65 + 582 + 14 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165582144001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12737087994 + ... + 12737088006.

It is an arithmetic number, because the mean of its divisors is an integer number (399129588).

Almost surely, 2^165582144000 is an apocalyptic number.

165582144000 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 165582144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383164404480).

165582144000 is an abundant number, since it is smaller than the sum of its proper divisors (600746664960).

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

165582144000 is an frugal number, since it uses more digits than its factorization.

165582144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 165582144000 in words is "one hundred sixty-five billion, five hundred eighty-two million, one hundred forty-four thousand".