165800381016960 has 768 divisors, whose sum is σ = 605491443648000. Its totient is φ = 43342123769856.

The previous prime is 165800381016929. The next prime is 165800381017049. The reversal of 165800381016960 is 69610183008561.

165800381016960 is a `hidden beast` number, since 1 + 6 + 580 + 0 + 38 + 10 + 16 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 165800381016897 and 165800381016906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3294043954 + ... + 3294094286.

It is an arithmetic number, because the mean of its divisors is an integer number (788400317250).

Almost surely, 2^{165800381016960} is an apocalyptic number.

165800381016960 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 165800381016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302745721824000).

165800381016960 is an abundant number, since it is smaller than the sum of its proper divisors (439691062631040).

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

165800381016960 is an equidigital number, since it uses as much as digits as its factorization.

165800381016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50785 (or 50761 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 165800381016960 in words is "one hundred sixty-five trillion, eight hundred billion, three hundred eighty-one million, sixteen thousand, nine hundred sixty".