165514320000 has 1280 divisors, whose sum is σ = 665974320000. Its totient is φ = 40310784000.

The previous prime is 165514319989. The next prime is 165514320031. The reversal of 165514320000 is 23415561.

165514320000 is a `hidden beast` number, since 1 + 655 + 1 + 4 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 1518479946 + ... + 1518480054.

Almost surely, 2^165514320000 is an apocalyptic number.

165514320000 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 165514320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332987160000).

165514320000 is an abundant number, since it is smaller than the sum of its proper divisors (500460000000).

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

165514320000 is a wasteful number, since it uses less digits than its factorization.

165514320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 165514320000 its reverse (23415561), we get a palindrome (165537735561).

The spelling of 165514320000 in words is "one hundred sixty-five billion, five hundred fourteen million, three hundred twenty thousand".