165585296952 has 256 divisors, whose sum is σ = 488855347200. Its totient is φ = 51840414720.

The previous prime is 165585296927. The next prime is 165585296959. The reversal of 165585296952 is 259692585561.

165585296952 is a `hidden beast` number, since 1 + 6 + 5 + 58 + 529 + 6 + 9 + 52 = 666.

165585296952 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165585296952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165585296959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160295028 + ... + 160296060.

It is an arithmetic number, because the mean of its divisors is an integer number (1909591200).

Almost surely, 2^165585296952 is an apocalyptic number.

165585296952 is a gapful number since it is divisible by the number (12) 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 165585296952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244427673600).

165585296952 is an abundant number, since it is smaller than the sum of its proper divisors (323270050248).

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

165585296952 is a wasteful number, since it uses less digits than its factorization.

165585296952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1753 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 63.

The spelling of 165585296952 in words is "one hundred sixty-five billion, five hundred eighty-five million, two hundred ninety-six thousand, nine hundred fifty-two".