23265135600 has 240 divisors, whose sum is σ = 85306540032. Its totient is φ = 5309383680.

The previous prime is 23265135583. The next prime is 23265135611. The reversal of 23265135600 is 653156232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6491409 + ... + 6494991.

Almost surely, 2^23265135600 is an apocalyptic number.

23265135600 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 23265135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653270016).

23265135600 is an abundant number, since it is smaller than the sum of its proper divisors (62041404432).

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

23265135600 is a wasteful number, since it uses less digits than its factorization.

23265135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 23265135600 in words is "twenty-three billion, two hundred sixty-five million, one hundred thirty-five thousand, six hundred".