165632256000 has 768 divisors, whose sum is σ = 632891750400. Its totient is φ = 42688512000.

The previous prime is 165632255993. The next prime is 165632256029. The reversal of 165632256000 is 652236561.

It is a happy number.

165632256000 is a `hidden beast` number, since 1 + 65 + 6 + 32 + 2 + 560 + 0 + 0 = 666.

165632256000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214271614 + ... + 214272386.

It is an arithmetic number, because the mean of its divisors is an integer number (824077800).

Almost surely, 2^165632256000 is an apocalyptic number.

165632256000 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 165632256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316445875200).

165632256000 is an abundant number, since it is smaller than the sum of its proper divisors (467259494400).

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

165632256000 is an equidigital number, since it uses as much as digits as its factorization.

165632256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 165632256000 in words is "one hundred sixty-five billion, six hundred thirty-two million, two hundred fifty-six thousand".