165849845760 has 520 divisors, whose sum is σ = 629609209416. Its totient is φ = 41617981440.

The previous prime is 165849845717. The next prime is 165849845773. The reversal of 165849845760 is 67548948561.

165849845760 is a `hidden beast` number, since 1 + 6 + 58 + 4 + 9 + 8 + 4 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61060386816 + 104789458944 = 247104^2 + 323712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28198020 + ... + 28203900.

Almost surely, 2^165849845760 is an apocalyptic number.

165849845760 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 165849845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314804604708).

165849845760 is an abundant number, since it is smaller than the sum of its proper divisors (463759363656).

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

165849845760 is an equidigital number, since it uses as much as digits as its factorization.

165849845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 165849845760 in words is "one hundred sixty-five billion, eight hundred forty-nine million, eight hundred forty-five thousand, seven hundred sixty".