165835165440 has 144 divisors (see below), whose sum is σ = 605298451968. Its totient is φ = 37905174528.

The previous prime is 165835165357. The next prime is 165835165459. The reversal of 165835165440 is 44561538561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 165835165440.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3057852 + ... + 3111611.

It is an arithmetic number, because the mean of its divisors is an integer number (4203461472).

Almost surely, 2^165835165440 is an apocalyptic number.

165835165440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165835165440 is an abundant number, since it is smaller than the sum of its proper divisors (439463286528).

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

165835165440 is an equidigital number, since it uses as much as digits as its factorization.

165835165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169494 (or 6169480 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 165835165440 in words is "one hundred sixty-five billion, eight hundred thirty-five million, one hundred sixty-five thousand, four hundred forty".