165130459565760 has 1344 divisors, whose sum is σ = 644498216208000. Its totient is φ = 40271440674816.

The previous prime is 165130459565717. The next prime is 165130459565767. The reversal of 165130459565760 is 67565954031561.

It is a happy number.

165130459565760 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 3 + 0 + 4 + 5 + 9 + 56 + 576 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (165130459565767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12891746236 + ... + 12891759044.

It is an arithmetic number, because the mean of its divisors is an integer number (479537363250).

Almost surely, 2^{165130459565760} is an apocalyptic number.

165130459565760 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 165130459565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322249108104000).

165130459565760 is an abundant number, since it is smaller than the sum of its proper divisors (479367756642240).

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

165130459565760 is a wasteful number, since it uses less digits than its factorization.

165130459565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12982 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 165130459565760 in words is "one hundred sixty-five trillion, one hundred thirty billion, four hundred fifty-nine million, five hundred sixty-five thousand, seven hundred sixty".