165543796800 has 252 divisors, whose sum is σ = 622993352436. Its totient is φ = 41548185600.

The previous prime is 165543796751. The next prime is 165543796811. The reversal of 165543796800 is 8697345561.

165543796800 is a `hidden beast` number, since 1 + 6 + 5 + 543 + 7 + 96 + 8 + 0 + 0 = 666.

165543796800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3437711424 + 162106085376 = 58632^2 + 402624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93321 + ... + 582920.

It is an arithmetic number, because the mean of its divisors is an integer number (2472195843).

Almost surely, 2^165543796800 is an apocalyptic number.

165543796800 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 165543796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311496676218).

165543796800 is an abundant number, since it is smaller than the sum of its proper divisors (457449555636).

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

165543796800 is a wasteful number, since it uses less digits than its factorization.

165543796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676286 (or 676268 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 165543796800 in words is "one hundred sixty-five billion, five hundred forty-three million, seven hundred ninety-six thousand, eight hundred".