23254431200 has 576 divisors, whose sum is σ = 77485040640. Its totient is φ = 6580224000.

The previous prime is 23254431191. The next prime is 23254431203. The reversal of 23254431200 is 213445232.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23254431200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23254431203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56856596 + ... + 56857004.

It is an arithmetic number, because the mean of its divisors is an integer number (134522640).

Almost surely, 2^23254431200 is an apocalyptic number.

23254431200 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 23254431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38742520320).

23254431200 is an abundant number, since it is smaller than the sum of its proper divisors (54230609440).

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

23254431200 is a wasteful number, since it uses less digits than its factorization.

23254431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 23254431200 its reverse (213445232), we get a palindrome (23467876432).

It can be divided in two parts, 23254 and 431200, that added together give a palindrome (454454).

The spelling of 23254431200 in words is "twenty-three billion, two hundred fifty-four million, four hundred thirty-one thousand, two hundred".