165870501888 has 544 divisors, whose sum is σ = 556194021376. Its totient is φ = 42807066624.

The previous prime is 165870501887. The next prime is 165870501889. The reversal of 165870501888 is 888105078561.

It is an interprime number because it is at equal distance from previous prime (165870501887) and next prime (165870501889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165870501887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306066881 + ... + 1306067007.

Almost surely, 2^165870501888 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 165870501888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278097010688).

165870501888 is an abundant number, since it is smaller than the sum of its proper divisors (390323519488).

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

165870501888 is an equidigital number, since it uses as much as digits as its factorization.

165870501888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 57.

The spelling of 165870501888 in words is "one hundred sixty-five billion, eight hundred seventy million, five hundred one thousand, eight hundred eighty-eight".