165790800000 has 1920 divisors, whose sum is σ = 763612375680. Its totient is φ = 34836480000.

The previous prime is 165790799989. The next prime is 165790800029. The reversal of 165790800000 is 8097561.

165790800000 is a `hidden beast` number, since 1 + 6 + 579 + 0 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 3855599979 + ... + 3855600021.

It is an arithmetic number, because the mean of its divisors is an integer number (397714779).

Almost surely, 2^165790800000 is an apocalyptic number.

165790800000 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 165790800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381806187840).

165790800000 is an abundant number, since it is smaller than the sum of its proper divisors (597821575680).

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

165790800000 is an frugal number, since it uses more digits than its factorization.

165790800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 165790800000 its reverse (8097561), we get a palindrome (165798897561).

The spelling of 165790800000 in words is "one hundred sixty-five billion, seven hundred ninety million, eight hundred thousand".