25514225252000 has 192 divisors, whose sum is σ = 63406232416800. Its totient is φ = 10089301196800.

The previous prime is 25514225251897. The next prime is 25514225252041. The reversal of 25514225252000 is 25252241552.

It can be written as a sum of positive squares in 16 ways, for example, as 17851537611664 + 7662687640336 = 4225108^2 + 2768156^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175755446 + ... + 175900554.

Almost surely, 2^{25514225252000} is an apocalyptic number.

25514225252000 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 25514225252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31703116208400).

25514225252000 is an abundant number, since it is smaller than the sum of its proper divisors (37892007164800).

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

25514225252000 is a wasteful number, since it uses less digits than its factorization.

25514225252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145636 (or 145618 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

Adding to 25514225252000 its reverse (25252241552), we get a palindrome (25539477493552).

The spelling of 25514225252000 in words is "twenty-five trillion, five hundred fourteen billion, two hundred twenty-five million, two hundred fifty-two thousand".