165105893640 has 64 divisors (see below), whose sum is σ = 497145519360. Its totient is φ = 43865763840.

The previous prime is 165105893597. The next prime is 165105893671. The reversal of 165105893640 is 46398501561.

It is a super-2 number, since 2×165105893640² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165105893640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2506009 + ... + 2571048.

It is an arithmetic number, because the mean of its divisors is an integer number (7767898740).

Almost surely, 2^165105893640 is an apocalyptic number.

165105893640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165105893640 is an abundant number, since it is smaller than the sum of its proper divisors (332039625720).

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

165105893640 is a wasteful number, since it uses less digits than its factorization.

165105893640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077342 (or 5077338 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 165105893640 in words is "one hundred sixty-five billion, one hundred five million, eight hundred ninety-three thousand, six hundred forty".