165538275346080 has 3360 divisors, whose sum is σ = 755310244968720. Its totient is φ = 34044159098880.

The previous prime is 165538275346069. The next prime is 165538275346097. The reversal of 165538275346080 is 80643572835561.

165538275346080 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 38 + 2 + 7 + 534 + 60 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1392673773456 + 164145601572624 = 1180116^2 + 12811932^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 165538275345999 and 165538275346017.

It is an unprimeable number.

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 559 ways as a sum of consecutive naturals, for example, 149268056566 + ... + 149268057674.

Almost surely, 2^{165538275346080} is an apocalyptic number.

165538275346080 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 165538275346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377655122484360).

165538275346080 is an abundant number, since it is smaller than the sum of its proper divisors (589771969622640).

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

165538275346080 is an equidigital number, since it uses as much as digits as its factorization.

165538275346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 165538275346080 in words is "one hundred sixty-five trillion, five hundred thirty-eight billion, two hundred seventy-five million, three hundred forty-six thousand, eighty".