165555125056 has 84 divisors (see below), whose sum is σ = 350112330508. Its totient is φ = 77656670208.

The previous prime is 165555125053. The next prime is 165555125059. The reversal of 165555125056 is 650521555561.

165555125056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165555125053) and next prime (165555125059).

It can be written as a sum of positive squares in 6 ways, for example, as 14451886656 + 151103238400 = 120216^2 + 388720^2 .

It is a super-3 number, since 3×165555125056³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165555124997 and 165555125015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165555125051) 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 11 ways as a sum of consecutive naturals, for example, 5774950 + ... + 5803546.

Almost surely, 2^165555125056 is an apocalyptic number.

165555125056 is a gapful number since it is divisible by the number (16) 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 165555125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175056165254).

165555125056 is an abundant number, since it is smaller than the sum of its proper divisors (184557205452).

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

165555125056 is a wasteful number, since it uses less digits than its factorization.

165555125056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28956 (or 28929 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 46.

The spelling of 165555125056 in words is "one hundred sixty-five billion, five hundred fifty-five million, one hundred twenty-five thousand, fifty-six".