165775599360 has 432 divisors, whose sum is σ = 660706615296. Its totient is φ = 37590884352.

The previous prime is 165775599337. The next prime is 165775599373. The reversal of 165775599360 is 63995577561.

165775599360 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 7 + 5 + 599 + 36 + 0 = 666.

165775599360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10233187 + ... + 10249373.

Almost surely, 2^165775599360 is an apocalyptic number.

165775599360 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 165775599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330353307648).

165775599360 is an abundant number, since it is smaller than the sum of its proper divisors (494931015936).

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

165775599360 is a wasteful number, since it uses less digits than its factorization.

165775599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16348 (or 16331 counting only the distinct ones).

The product of its (nonzero) digits is 53581500, while the sum is 63.

The spelling of 165775599360 in words is "one hundred sixty-five billion, seven hundred seventy-five million, five hundred ninety-nine thousand, three hundred sixty".