23105617920 has 1080 divisors, whose sum is σ = 103337156832. Its totient is φ = 4671406080.

The previous prime is 23105617897. The next prime is 23105617921. The reversal of 23105617920 is 2971650132.

23105617920 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 561 + 7 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105617921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 624476142 + ... + 624476178.

Almost surely, 2^23105617920 is an apocalyptic number.

23105617920 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 23105617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51668578416).

23105617920 is an abundant number, since it is smaller than the sum of its proper divisors (80231538912).

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

23105617920 is a wasteful number, since it uses less digits than its factorization.

23105617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 23105617920 in words is "twenty-three billion, one hundred five million, six hundred seventeen thousand, nine hundred twenty".