165205503272556 has 480 divisors, whose sum is σ = 458888622192000. Its totient is φ = 51721613475840.

The previous prime is 165205503272527. The next prime is 165205503272599. The reversal of 165205503272556 is 655272305502561.

165205503272556 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 0 + 5 + 50 + 32 + 7 + 2 + 556 = 666.

It is a super-2 number, since 2×165205503272556² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 69384922486 + ... + 69384924866.

It is an arithmetic number, because the mean of its divisors is an integer number (956017962900).

Almost surely, 2^{165205503272556} 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 165205503272556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229444311096000).

165205503272556 is an abundant number, since it is smaller than the sum of its proper divisors (293683118919444).

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

165205503272556 is a wasteful number, since it uses less digits than its factorization.

165205503272556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 54.

The spelling of 165205503272556 in words is "one hundred sixty-five trillion, two hundred five billion, five hundred three million, two hundred seventy-two thousand, five hundred fifty-six".