165591220608 has 192 divisors, whose sum is σ = 521047987200. Its totient is φ = 50061081600.

The previous prime is 165591220583. The next prime is 165591220637. The reversal of 165591220608 is 806022195561.

165591220608 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 9 + 12 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5446473 + ... + 5476791.

It is an arithmetic number, because the mean of its divisors is an integer number (2713791600).

Almost surely, 2^165591220608 is an apocalyptic number.

165591220608 is a gapful number since it is divisible by the number (18) 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 165591220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260523993600).

165591220608 is an abundant number, since it is smaller than the sum of its proper divisors (355456766592).

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

165591220608 is a wasteful number, since it uses less digits than its factorization.

165591220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30781 (or 30766 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 165591220608 in words is "one hundred sixty-five billion, five hundred ninety-one million, two hundred twenty thousand, six hundred eight".