165893995008 has 240 divisors, whose sum is σ = 553336280640. Its totient is φ = 46864908288.

The previous prime is 165893994997. The next prime is 165893995021. The reversal of 165893995008 is 800599398561.

165893995008 is a `hidden beast` number, since 16 + 5 + 89 + 39 + 9 + 500 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2841891 + ... + 2899677.

It is an arithmetic number, because the mean of its divisors is an integer number (2305567836).

Almost surely, 2^165893995008 is an apocalyptic number.

165893995008 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 165893995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276668140320).

165893995008 is an abundant number, since it is smaller than the sum of its proper divisors (387442285632).

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

165893995008 is an equidigital number, since it uses as much as digits as its factorization.

165893995008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57907 (or 57888 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 165893995008 in words is "one hundred sixty-five billion, eight hundred ninety-three million, nine hundred ninety-five thousand, eight".