165435304320 has 1728 divisors, whose sum is σ = 735518674800. Its totient is φ = 33940684800.

The previous prime is 165435304303. The next prime is 165435304373. The reversal of 165435304320 is 23403534561.

165435304320 is a `hidden beast` number, since 1 + 6 + 543 + 53 + 0 + 43 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5336622705 + ... + 5336622735.

Almost surely, 2^165435304320 is an apocalyptic number.

165435304320 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 165435304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367759337400).

165435304320 is an abundant number, since it is smaller than the sum of its proper divisors (570083370480).

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

165435304320 is a wasteful number, since it uses less digits than its factorization.

165435304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 165435304320 its reverse (23403534561), we get a palindrome (188838838881).

The spelling of 165435304320 in words is "one hundred sixty-five billion, four hundred thirty-five million, three hundred four thousand, three hundred twenty".