23105986560 has 448 divisors, whose sum is σ = 87052708800. Its totient is φ = 5794430976.

The previous prime is 23105986523. The next prime is 23105986571. The reversal of 23105986560 is 6568950132.

23105986560 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 5 + 9 + 86 + 560 = 666.

It is a super-2 number, since 2×23105986560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18800026 + ... + 18801254.

Almost surely, 2^23105986560 is an apocalyptic number.

23105986560 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 23105986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43526354400).

23105986560 is an abundant number, since it is smaller than the sum of its proper divisors (63946722240).

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

23105986560 is a wasteful number, since it uses less digits than its factorization.

23105986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 23105986560 in words is "twenty-three billion, one hundred five million, nine hundred eighty-six thousand, five hundred sixty".