165312576000 has 1600 divisors, whose sum is σ = 726679489536. Its totient is φ = 36827136000.

The previous prime is 165312575993. The next prime is 165312576001. The reversal of 165312576000 is 675213561.

165312576000 is a `hidden beast` number, since 16 + 5 + 31 + 2 + 5 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165312576001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 741311889 + ... + 741312111.

Almost surely, 2^165312576000 is an apocalyptic number.

165312576000 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 165312576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363339744768).

165312576000 is an abundant number, since it is smaller than the sum of its proper divisors (561366913536).

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

165312576000 is a wasteful number, since it uses less digits than its factorization.

165312576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 165312576000 its reverse (675213561), we get a palindrome (165987789561).

The spelling of 165312576000 in words is "one hundred sixty-five billion, three hundred twelve million, five hundred seventy-six thousand".