165240054000 has 960 divisors, whose sum is σ = 694246101120. Its totient is φ = 37458892800.

The previous prime is 165240053971. The next prime is 165240054037. The reversal of 165240054000 is 450042561.

165240054000 is a `hidden beast` number, since 1 + 652 + 4 + 0 + 0 + 5 + 4 + 0 + 0 + 0 = 666.

165240054000 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 521261842 + ... + 521262158.

It is an arithmetic number, because the mean of its divisors is an integer number (723173022).

Almost surely, 2^165240054000 is an apocalyptic number.

165240054000 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 165240054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347123050560).

165240054000 is an abundant number, since it is smaller than the sum of its proper divisors (529006047120).

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

165240054000 is a wasteful number, since it uses less digits than its factorization.

165240054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 165240054000 its reverse (450042561), we get a palindrome (165690096561).

The spelling of 165240054000 in words is "one hundred sixty-five billion, two hundred forty million, fifty-four thousand".