23505140736 has 704 divisors, whose sum is σ = 88697656320. Its totient is φ = 5971968000.

The previous prime is 23505140723. The next prime is 23505140741. The reversal of 23505140736 is 63704150532.

23505140736 is a `hidden beast` number, since 2 + 3 + 505 + 140 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23505140736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129862566 + ... + 129862746.

Almost surely, 2^23505140736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23505140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348828160).

23505140736 is an abundant number, since it is smaller than the sum of its proper divisors (65192515584).

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

23505140736 is a wasteful number, since it uses less digits than its factorization.

23505140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 23505140736 in words is "twenty-three billion, five hundred five million, one hundred forty thousand, seven hundred thirty-six".