23209205760 has 672 divisors, whose sum is σ = 90166789440. Its totient is φ = 5483003904.

The previous prime is 23209205759. The next prime is 23209205797. The reversal of 23209205760 is 6750290232.

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

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 47 ways as a sum of consecutive naturals, for example, 138977197 + ... + 138977363.

It is an arithmetic number, because the mean of its divisors is an integer number (134176770).

Almost surely, 2^23209205760 is an apocalyptic number.

23209205760 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 23209205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45083394720).

23209205760 is an abundant number, since it is smaller than the sum of its proper divisors (66957583680).

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

23209205760 is a wasteful number, since it uses less digits than its factorization.

23209205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 23209205760 its reverse (6750290232), we get a palindrome (29959495992).

The spelling of 23209205760 in words is "twenty-three billion, two hundred nine million, two hundred five thousand, seven hundred sixty".