165322861161600 has 768 divisors, whose sum is σ = 575133384286080. Its totient is φ = 41691420426240.

The previous prime is 165322861161569. The next prime is 165322861161607. The reversal of 165322861161600 is 6161168223561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 165322861161600.

It is not an unprimeable number, because it can be changed into a prime (165322861161607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2014298164 + ... + 2014380236.

Almost surely, 2^{165322861161600} is an apocalyptic number.

165322861161600 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 165322861161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287566692143040).

165322861161600 is an abundant number, since it is smaller than the sum of its proper divisors (409810523124480).

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

165322861161600 is a wasteful number, since it uses less digits than its factorization.

165322861161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82297 (or 82280 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 165322861161600 in words is "one hundred sixty-five trillion, three hundred twenty-two billion, eight hundred sixty-one million, one hundred sixty-one thousand, six hundred".