165312725600 has 144 divisors (see below), whose sum is σ = 440694762480. Its totient is φ = 60054067200.

The previous prime is 165312725549. The next prime is 165312725603. The reversal of 165312725600 is 6527213561.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165312725603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9398414 + ... + 9415986.

It is an arithmetic number, because the mean of its divisors is an integer number (3060380295).

Almost surely, 2^165312725600 is an apocalyptic number.

165312725600 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 165312725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220347381240).

165312725600 is an abundant number, since it is smaller than the sum of its proper divisors (275382036880).

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

165312725600 is a wasteful number, since it uses less digits than its factorization.

165312725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18673 (or 18660 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 165312725600 in words is "one hundred sixty-five billion, three hundred twelve million, seven hundred twenty-five thousand, six hundred".