23006407600 has 360 divisors, whose sum is σ = 64693828080. Its totient is φ = 7841433600.

The previous prime is 23006407579. The next prime is 23006407607. The reversal of 23006407600 is 670460032.

It is not an unprimeable number, because it can be changed into a prime (23006407607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51932979 + ... + 51933421.

It is an arithmetic number, because the mean of its divisors is an integer number (179705078).

Almost surely, 2^23006407600 is an apocalyptic number.

23006407600 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 23006407600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32346914040).

23006407600 is an abundant number, since it is smaller than the sum of its proper divisors (41687420480).

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

23006407600 is a wasteful number, since it uses less digits than its factorization.

23006407600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 23006407600 its reverse (670460032), we get a palindrome (23676867632).

The spelling of 23006407600 in words is "twenty-three billion, six million, four hundred seven thousand, six hundred".