165360166948800 has 252 divisors, whose sum is σ = 590712483171096. Its totient is φ = 43872205977600.

The previous prime is 165360166948777. The next prime is 165360166948807. The reversal of 165360166948800 is 8849661063561.

165360166948800 is a `hidden beast` number, since 1 + 6 + 536 + 0 + 1 + 6 + 6 + 94 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165360166948807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26308746 + ... + 31982345.

Almost surely, 2^{165360166948800} is an apocalyptic number.

165360166948800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165360166948800 is an abundant number, since it is smaller than the sum of its proper divisors (425352316222296).

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

165360166948800 is a wasteful number, since it uses less digits than its factorization.

165360166948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58291316 (or 58291298 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 165360166948800 in words is "one hundred sixty-five trillion, three hundred sixty billion, one hundred sixty-six million, nine hundred forty-eight thousand, eight hundred".