23548320000 has 900 divisors, whose sum is σ = 92716821120. Its totient is φ = 5930496000.

The previous prime is 23548319941. The next prime is 23548320001. The reversal of 23548320000 is 2384532.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×23548320000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23548320001) by changing a digit.

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 99 ways as a sum of consecutive naturals, for example, 298079961 + ... + 298080039.

Almost surely, 2^23548320000 is an apocalyptic number.

23548320000 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 23548320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46358410560).

23548320000 is an abundant number, since it is smaller than the sum of its proper divisors (69168501120).

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

23548320000 is an frugal number, since it uses more digits than its factorization.

23548320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 23548320000 in words is "twenty-three billion, five hundred forty-eight million, three hundred twenty thousand".