25325533210400 has 144 divisors (see below), whose sum is σ = 62879310154080. Its totient is φ = 9957650841600.

The previous prime is 25325533210349. The next prime is 25325533210403. The reversal of 25325533210400 is 401233552352.

It is not an unprimeable number, because it can be changed into a prime (25325533210403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991706432 + ... + 991731968.

It is an arithmetic number, because the mean of its divisors is an integer number (436661876070).

Almost surely, 2^{25325533210400} is an apocalyptic number.

25325533210400 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 25325533210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31439655077040).

25325533210400 is an abundant number, since it is smaller than the sum of its proper divisors (37553776943680).

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

25325533210400 is a wasteful number, since it uses less digits than its factorization.

25325533210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46627 (or 46614 counting only the distinct ones).

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

Adding to 25325533210400 its reverse (401233552352), we get a palindrome (25726766762752).

The spelling of 25325533210400 in words is "twenty-five trillion, three hundred twenty-five billion, five hundred thirty-three million, two hundred ten thousand, four hundred".