23751340200 has 288 divisors, whose sum is σ = 91295942400. Its totient is φ = 5420782080.

The previous prime is 23751340177. The next prime is 23751340211. The reversal of 23751340200 is 204315732.

It is a super-2 number, since 2×23751340200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13896946 + ... + 13898654.

It is an arithmetic number, because the mean of its divisors is an integer number (316999800).

Almost surely, 2^23751340200 is an apocalyptic number.

23751340200 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 23751340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45647971200).

23751340200 is an abundant number, since it is smaller than the sum of its proper divisors (67544602200).

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

23751340200 is a wasteful number, since it uses less digits than its factorization.

23751340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 23751340200 its reverse (204315732), we get a palindrome (23955655932).

The spelling of 23751340200 in words is "twenty-three billion, seven hundred fifty-one million, three hundred forty thousand, two hundred".