165255830208 has 896 divisors, whose sum is σ = 600509644800. Its totient is φ = 43553562624.

The previous prime is 165255830183. The next prime is 165255830227. The reversal of 165255830208 is 802038552561.

165255830208 is a `hidden beast` number, since 1 + 65 + 2 + 5 + 583 + 0 + 2 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1604425485 + ... + 1604425587.

Almost surely, 2^165255830208 is an apocalyptic number.

165255830208 is a gapful number since it is divisible by the number (18) 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 165255830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300254822400).

165255830208 is an abundant number, since it is smaller than the sum of its proper divisors (435253814592).

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

165255830208 is a wasteful number, since it uses less digits than its factorization.

165255830208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 165255830208 in words is "one hundred sixty-five billion, two hundred fifty-five million, eight hundred thirty thousand, two hundred eight".