165438595123200 has 864 divisors, whose sum is σ = 680346969382080. Its totient is φ = 37635165388800.

The previous prime is 165438595123147. The next prime is 165438595123289. The reversal of 165438595123200 is 2321595834561.

165438595123200 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 3 + 8 + 595 + 1 + 23 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 680480062 + ... + 680723138.

It is an arithmetic number, because the mean of its divisors is an integer number (787438621970).

Almost surely, 2^{165438595123200} is an apocalyptic number.

165438595123200 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 165438595123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340173484691040).

165438595123200 is an abundant number, since it is smaller than the sum of its proper divisors (514908374258880).

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

165438595123200 is a wasteful number, since it uses less digits than its factorization.

165438595123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243333 (or 243305 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 165438595123200 in words is "one hundred sixty-five trillion, four hundred thirty-eight billion, five hundred ninety-five million, one hundred twenty-three thousand, two hundred".