165155911200 has 1728 divisors, whose sum is σ = 752138110080. Its totient is φ = 34743582720.

The previous prime is 165155911189. The next prime is 165155911211. The reversal of 165155911200 is 2119551561.

165155911200 is a `hidden beast` number, since 1 + 6 + 51 + 5 + 591 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165155911189) and next prime (165155911211).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1205517532 + ... + 1205517668.

It is an arithmetic number, because the mean of its divisors is an integer number (435265110).

Almost surely, 2^165155911200 is an apocalyptic number.

165155911200 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 165155911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376069055040).

165155911200 is an abundant number, since it is smaller than the sum of its proper divisors (586982198880).

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

165155911200 is a wasteful number, since it uses less digits than its factorization.

165155911200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

The spelling of 165155911200 in words is "one hundred sixty-five billion, one hundred fifty-five million, nine hundred eleven thousand, two hundred".