165334659840 has 1440 divisors, whose sum is σ = 714572457984. Its totient is φ = 35712368640.

The previous prime is 165334659817. The next prime is 165334659881. The reversal of 165334659840 is 48956433561.

165334659840 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 3 + 4 + 6 + 598 + 40 = 666.

165334659840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1262096575 + ... + 1262096705.

Almost surely, 2^165334659840 is an apocalyptic number.

165334659840 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 165334659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357286228992).

165334659840 is an abundant number, since it is smaller than the sum of its proper divisors (549237798144).

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

165334659840 is a wasteful number, since it uses less digits than its factorization.

165334659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 165334659840 in words is "one hundred sixty-five billion, three hundred thirty-four million, six hundred fifty-nine thousand, eight hundred forty".