25053503314400 has 864 divisors, whose sum is σ = 75843050734080. Its totient is φ = 8031990067200.

The previous prime is 25053503314391. The next prime is 25053503314403. The reversal of 25053503314400 is 441330535052.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25053503314403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1565151197 + ... + 1565167203.

It is an arithmetic number, because the mean of its divisors is an integer number (87781308720).

Almost surely, 2^{25053503314400} is an apocalyptic number.

25053503314400 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 25053503314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37921525367040).

25053503314400 is an abundant number, since it is smaller than the sum of its proper divisors (50789547419680).

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

25053503314400 is a wasteful number, since it uses less digits than its factorization.

25053503314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16128 (or 16104 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 25053503314400 its reverse (441330535052), we get a palindrome (25494833849452).

The spelling of 25053503314400 in words is "twenty-five trillion, fifty-three billion, five hundred three million, three hundred fourteen thousand, four hundred".