165968668895040 has 336 divisors, whose sum is σ = 627305417593920. Its totient is φ = 39941142896640.

The previous prime is 165968668895027. The next prime is 165968668895059. The reversal of 165968668895040 is 40598866869561.

It is a happy number.

165968668895040 is a `hidden beast` number, since 16 + 5 + 96 + 8 + 6 + 6 + 8 + 8 + 9 + 504 + 0 = 666.

165968668895040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14779950 + ... + 23460269.

Almost surely, 2^{165968668895040} is an apocalyptic number.

165968668895040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165968668895040 is an abundant number, since it is smaller than the sum of its proper divisors (461336748698880).

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

165968668895040 is a wasteful number, since it uses less digits than its factorization.

165968668895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38240390 (or 38240377 counting only the distinct ones).

The product of its (nonzero) digits is 5374771200, while the sum is 81.

The spelling of 165968668895040 in words is "one hundred sixty-five trillion, nine hundred sixty-eight billion, six hundred sixty-eight million, eight hundred ninety-five thousand, forty".