23469825600 has 1008 divisors, whose sum is σ = 97536812800. Its totient is φ = 5456056320.

The previous prime is 23469825583. The next prime is 23469825637. The reversal of 23469825600 is 652896432.

23469825600 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 9 + 82 + 560 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 297086361 + ... + 297086439.

Almost surely, 2^23469825600 is an apocalyptic number.

23469825600 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 23469825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768406400).

23469825600 is an abundant number, since it is smaller than the sum of its proper divisors (74066987200).

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

23469825600 is a wasteful number, since it uses less digits than its factorization.

23469825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23469825600 in words is "twenty-three billion, four hundred sixty-nine million, eight hundred twenty-five thousand, six hundred".