25453411435452 has 768 divisors, whose sum is σ = 83242855858176. Its totient is φ = 5840626176000.

The previous prime is 25453411435393. The next prime is 25453411435457.

It is a happy number.

25453411435452 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25453411435457) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21552422302 + ... + 21552423482.

It is an arithmetic number, because the mean of its divisors is an integer number (108389135232).

Almost surely, 2^{25453411435452} is an apocalyptic number.

25453411435452 is a gapful number since it is divisible by the number (22) 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 25453411435452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41621427929088).

25453411435452 is an abundant number, since it is smaller than the sum of its proper divisors (57789444422724).

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

25453411435452 is a wasteful number, since it uses less digits than its factorization.

25453411435452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2008 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The spelling of 25453411435452 in words is "twenty-five trillion, four hundred fifty-three billion, four hundred eleven million, four hundred thirty-five thousand, four hundred fifty-two".