165904505348028 has 96 divisors (see below), whose sum is σ = 413652764448000. Its totient is φ = 51569633995776.

The previous prime is 165904505348003. The next prime is 165904505348033. The reversal of 165904505348028 is 820843505409561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198428951 + ... + 1198567377.

It is an arithmetic number, because the mean of its divisors is an integer number (4308882963000).

Almost surely, 2^{165904505348028} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165904505348028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206826382224000).

165904505348028 is an abundant number, since it is smaller than the sum of its proper divisors (247748259099972).

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

165904505348028 is a wasteful number, since it uses less digits than its factorization.

165904505348028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192459 (or 192457 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 165904505348028 in words is "one hundred sixty-five trillion, nine hundred four billion, five hundred five million, three hundred forty-eight thousand, twenty-eight".