23429107200 has 240 divisors, whose sum is σ = 78339735936. Its totient is φ = 6171648000.

The previous prime is 23429107111. The next prime is 23429107223. The reversal of 23429107200 is 270192432.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3183525 + ... + 3190875.

Almost surely, 2^23429107200 is an apocalyptic number.

23429107200 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 23429107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39169867968).

23429107200 is an abundant number, since it is smaller than the sum of its proper divisors (54910628736).

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

23429107200 is an equidigital number, since it uses as much as digits as its factorization.

23429107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7444 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 23429107200 its reverse (270192432), we get a palindrome (23699299632).

The spelling of 23429107200 in words is "twenty-three billion, four hundred twenty-nine million, one hundred seven thousand, two hundred".