165730482748800 has 2304 divisors, whose sum is σ = 662136921239040. Its totient is φ = 39282278400000.

The previous prime is 165730482748781. The next prime is 165730482748819. The reversal of 165730482748800 is 8847284037561.

It is a happy number.

165730482748800 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 3 + 0 + 482 + 74 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165730482748781) and next prime (165730482748819).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 111904444060 + ... + 111904445540.

It is an arithmetic number, because the mean of its divisors is an integer number (287385816510).

Almost surely, 2^{165730482748800} is an apocalyptic number.

165730482748800 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 165730482748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331068460619520).

165730482748800 is an abundant number, since it is smaller than the sum of its proper divisors (496406438490240).

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

165730482748800 is a wasteful number, since it uses less digits than its factorization.

165730482748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 165730482748800 in words is "one hundred sixty-five trillion, seven hundred thirty billion, four hundred eighty-two million, seven hundred forty-eight thousand, eight hundred".