23040380160 has 756 divisors, whose sum is σ = 98474211108. Its totient is φ = 4956585984.

The previous prime is 23040380147. The next prime is 23040380161. The reversal of 23040380160 is 6108304032.

It is a happy number.

23040380160 is a `hidden beast` number, since 23 + 0 + 403 + 80 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13282101504 + 9758278656 = 115248^2 + 98784^2 .

23040380160 is a modest number, since divided by 380160 gives 23040 as remainder.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23040380161) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 1355316472 + ... + 1355316488.

It is an arithmetic number, because the mean of its divisors is an integer number (130256893).

Almost surely, 2^23040380160 is an apocalyptic number.

23040380160 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 23040380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49237105554).

23040380160 is an abundant number, since it is smaller than the sum of its proper divisors (75433830948).

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

23040380160 is an frugal number, since it uses more digits than its factorization.

23040380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23040380160 its reverse (6108304032), we get a palindrome (29148684192).

The spelling of 23040380160 in words is "twenty-three billion, forty million, three hundred eighty thousand, one hundred sixty".