23265102560 has 96 divisors (see below), whose sum is σ = 63167247360. Its totient is φ = 7931976192.

The previous prime is 23265102559. The next prime is 23265102563. The reversal of 23265102560 is 6520156232.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23265102563) 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 15 ways as a sum of consecutive naturals, for example, 142457 + ... + 258503.

It is an arithmetic number, because the mean of its divisors is an integer number (657992160).

Almost surely, 2^23265102560 is an apocalyptic number.

23265102560 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 23265102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31583623680).

23265102560 is an abundant number, since it is smaller than the sum of its proper divisors (39902144800).

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

23265102560 is a wasteful number, since it uses less digits than its factorization.

23265102560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116248 (or 116240 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 23265102560 its reverse (6520156232), we get a palindrome (29785258792).

The spelling of 23265102560 in words is "twenty-three billion, two hundred sixty-five million, one hundred two thousand, five hundred sixty".