165968390417760 has 1536 divisors, whose sum is σ = 723425665536000. Its totient is φ = 34675061686272.

The previous prime is 165968390417729. The next prime is 165968390417803. The reversal of 165968390417760 is 67714093869561.

165968390417760 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 6 + 8 + 390 + 4 + 177 + 60 = 666.

165968390417760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32208107344 + ... + 32208112496.

It is an arithmetic number, because the mean of its divisors is an integer number (470980251000).

Almost surely, 2^{165968390417760} is an apocalyptic number.

165968390417760 is a gapful number since it is divisible by the number (10) 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 165968390417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361712832768000).

165968390417760 is an abundant number, since it is smaller than the sum of its proper divisors (557457275118240).

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

165968390417760 is a wasteful number, since it uses less digits than its factorization.

165968390417760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 165968390417760 in words is "one hundred sixty-five trillion, nine hundred sixty-eight billion, three hundred ninety million, four hundred seventeen thousand, seven hundred sixty".