23805712680 has 256 divisors, whose sum is σ = 78255072000. Its totient is φ = 5768921088.

The previous prime is 23805712673. The next prime is 23805712691. The reversal of 23805712680 is 8621750832.

It is a Cunningham number, because it is equal to 154291²-1.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10490586 + ... + 10492854.

It is an arithmetic number, because the mean of its divisors is an integer number (305683875).

Almost surely, 2^23805712680 is an apocalyptic number.

23805712680 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 23805712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39127536000).

23805712680 is an abundant number, since it is smaller than the sum of its proper divisors (54449359320).

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

23805712680 is a wasteful number, since it uses less digits than its factorization.

23805712680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 23805712680 in words is "twenty-three billion, eight hundred five million, seven hundred twelve thousand, six hundred eighty".