23328129600 has 210 divisors, whose sum is σ = 85748812754. Its totient is φ = 6220800000.

The previous prime is 23328129551. The next prime is 23328129607. The reversal of 23328129600 is 692182332.

23328129600 is a `hidden beast` number, since 2 + 3 + 3 + 28 + 1 + 29 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7615005696 + 15713123904 = 87264^2 + 125352^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23328129607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39600 + ... + 219600.

Almost surely, 2^23328129600 is an apocalyptic number.

23328129600 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 23328129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42874406377).

23328129600 is an abundant number, since it is smaller than the sum of its proper divisors (62420683154).

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

23328129600 is a wasteful number, since it uses less digits than its factorization.

23328129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180035 (or 180011 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23328129600 in words is "twenty-three billion, three hundred twenty-eight million, one hundred twenty-nine thousand, six hundred".