165118111200 has 864 divisors, whose sum is σ = 700200184320. Its totient is φ = 37187942400.

The previous prime is 165118111189. The next prime is 165118111229. The reversal of 165118111200 is 2111811561.

165118111200 is a `hidden beast` number, since 1 + 651 + 1 + 8 + 1 + 1 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 96615946 + ... + 96617654.

It is an arithmetic number, because the mean of its divisors is an integer number (810416880).

Almost surely, 2^165118111200 is an apocalyptic number.

165118111200 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 165118111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350100092160).

165118111200 is an abundant number, since it is smaller than the sum of its proper divisors (535082073120).

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

165118111200 is a wasteful number, since it uses less digits than its factorization.

165118111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 27.

Adding to 165118111200 its reverse (2111811561), we get a palindrome (167229922761).

The spelling of 165118111200 in words is "one hundred sixty-five billion, one hundred eighteen million, one hundred eleven thousand, two hundred".