165318050880 has 168 divisors, whose sum is σ = 572442975000. Its totient is φ = 43788828672.

The previous prime is 165318050869. The next prime is 165318050923. The reversal of 165318050880 is 88050813561.

165318050880 is a `hidden beast` number, since 1 + 6 + 53 + 18 + 0 + 508 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9867640896 + 155450409984 = 99336^2 + 394272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 236496 + ... + 621744.

Almost surely, 2^165318050880 is an apocalyptic number.

165318050880 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 165318050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286221487500).

165318050880 is an abundant number, since it is smaller than the sum of its proper divisors (407124924120).

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

165318050880 is a wasteful number, since it uses less digits than its factorization.

165318050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385421 (or 385408 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 165318050880 in words is "one hundred sixty-five billion, three hundred eighteen million, fifty thousand, eight hundred eighty".