23880748320 has 1536 divisors, whose sum is σ = 107296358400. Its totient is φ = 4877107200.

The previous prime is 23880748313. The next prime is 23880748327. The reversal of 23880748320 is 2384708832.

It is an interprime number because it is at equal distance from previous prime (23880748313) and next prime (23880748327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23880748327) 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 255 ways as a sum of consecutive naturals, for example, 555366219 + ... + 555366261.

It is an arithmetic number, because the mean of its divisors is an integer number (69854400).

Almost surely, 2^23880748320 is an apocalyptic number.

23880748320 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 23880748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53648179200).

23880748320 is an abundant number, since it is smaller than the sum of its proper divisors (83415610080).

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

23880748320 is a wasteful number, since it uses less digits than its factorization.

23880748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 23880748320 in words is "twenty-three billion, eight hundred eighty million, seven hundred forty-eight thousand, three hundred twenty".