165828060000 has 720 divisors, whose sum is σ = 617891274000. Its totient is φ = 43732224000.

The previous prime is 165828059977. The next prime is 165828060109. The reversal of 165828060000 is 60828561.

It is a happy number.

165828060000 is a `hidden beast` number, since 16 + 582 + 8 + 0 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 724139886 + ... + 724140114.

It is an arithmetic number, because the mean of its divisors is an integer number (858182325).

Almost surely, 2^165828060000 is an apocalyptic number.

165828060000 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 165828060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308945637000).

165828060000 is an abundant number, since it is smaller than the sum of its proper divisors (452063214000).

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

165828060000 is an equidigital number, since it uses as much as digits as its factorization.

165828060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 165828060000 its reverse (60828561), we get a palindrome (165888888561).

The spelling of 165828060000 in words is "one hundred sixty-five billion, eight hundred twenty-eight million, sixty thousand".