165505308973992 has 320 divisors, whose sum is σ = 502599113976960. Its totient is φ = 50581439884800.

The previous prime is 165505308973973. The next prime is 165505308973993. The reversal of 165505308973992 is 299379803505561.

It is a happy number.

165505308973992 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 0 + 530 + 89 + 7 + 3 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 165505308973992.

It is not an unprimeable number, because it can be changed into a prime (165505308973993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1254798367 + ... + 1254930257.

It is an arithmetic number, because the mean of its divisors is an integer number (1570622231178).

Almost surely, 2^{165505308973992} is an apocalyptic number.

165505308973992 is a gapful number since it is divisible by the number (12) 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 165505308973992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251299556988480).

165505308973992 is an abundant number, since it is smaller than the sum of its proper divisors (337093805002968).

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

165505308973992 is a wasteful number, since it uses less digits than its factorization.

165505308973992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132926 (or 132913 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 165505308973992 in words is "one hundred sixty-five trillion, five hundred five billion, three hundred eight million, nine hundred seventy-three thousand, nine hundred ninety-two".