23205242160 has 120 divisors (see below), whose sum is σ = 78027621984. Its totient is φ = 6180387840.

The previous prime is 23205242129. The next prime is 23205242167. The reversal of 23205242160 is 6124250232.

It is a happy number.

23205242160 is a `hidden beast` number, since 232 + 0 + 5 + 2 + 421 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (23205242167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572980 + ... + 612140.

Almost surely, 2^23205242160 is an apocalyptic number.

23205242160 is a gapful number since it is divisible by the number (20) 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 23205242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39013810992).

23205242160 is an abundant number, since it is smaller than the sum of its proper divisors (54822379824).

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

23205242160 is a wasteful number, since it uses less digits than its factorization.

23205242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40003 (or 39994 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23205242160 its reverse (6124250232), we get a palindrome (29329492392).

The spelling of 23205242160 in words is "twenty-three billion, two hundred five million, two hundred forty-two thousand, one hundred sixty".