165751443728640 has 2304 divisors, whose sum is σ = 758230634004480. Its totient is φ = 33275805696000.

The previous prime is 165751443728627. The next prime is 165751443728641. The reversal of 165751443728640 is 46827344157561.

165751443728640 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 5 + 1 + 443 + 72 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (165751443728641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65748290580 + ... + 65748293100.

It is an arithmetic number, because the mean of its divisors is an integer number (329093157120).

Almost surely, 2^{165751443728640} is an apocalyptic number.

165751443728640 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 165751443728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379115317002240).

165751443728640 is an abundant number, since it is smaller than the sum of its proper divisors (592479190275840).

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

165751443728640 is a wasteful number, since it uses less digits than its factorization.

165751443728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 165751443728640 in words is "one hundred sixty-five trillion, seven hundred fifty-one billion, four hundred forty-three million, seven hundred twenty-eight thousand, six hundred forty".