165300580368 has 360 divisors, whose sum is σ = 597029153760. Its totient is φ = 42206330880.

The previous prime is 165300580351. The next prime is 165300580369. The reversal of 165300580368 is 863085003561.

165300580368 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 0 + 0 + 580 + 3 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (165300580369) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4561296 + ... + 4597392.

It is an arithmetic number, because the mean of its divisors is an integer number (1658414316).

Almost surely, 2^165300580368 is an apocalyptic number.

165300580368 is a gapful number since it is divisible by the number (18) 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 165300580368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298514576880).

165300580368 is an abundant number, since it is smaller than the sum of its proper divisors (431728573392).

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

165300580368 is a wasteful number, since it uses less digits than its factorization.

165300580368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36195 (or 36179 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 165300580368 in words is "one hundred sixty-five billion, three hundred million, five hundred eighty thousand, three hundred sixty-eight".