165681136080 has 60 divisors (see below), whose sum is σ = 556412484420. Its totient is φ = 44181636096.

The previous prime is 165681136051. The next prime is 165681136121. The reversal of 165681136080 is 80631186561.

165681136080 is a `hidden beast` number, since 1 + 6 + 568 + 1 + 1 + 3 + 6 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73347805584 + 92333330496 = 270828^2 + 303864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 115055625 + ... + 115057064.

It is an arithmetic number, because the mean of its divisors is an integer number (9273541407).

Almost surely, 2^165681136080 is an apocalyptic number.

165681136080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165681136080 is an abundant number, since it is smaller than the sum of its proper divisors (390731348340).

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

165681136080 is a wasteful number, since it uses less digits than its factorization.

165681136080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230112708 (or 230112699 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 165681136080 in words is "one hundred sixty-five billion, six hundred eighty-one million, one hundred thirty-six thousand, eighty".