25453496001024 has 2560 divisors, whose sum is σ = 100000099584000. Its totient is φ = 6212375543808.

The previous prime is 25453496001019. The next prime is 25453496001091. The reversal of 25453496001024 is 42010069435452.

25453496001024 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 3 + 4 + 9 + 600 + 10 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147130034602 + ... + 147130034774.

It is an arithmetic number, because the mean of its divisors is an integer number (39062538900).

Almost surely, 2^{25453496001024} is an apocalyptic number.

25453496001024 is a gapful number since it is divisible by the number (24) 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 25453496001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50000049792000).

25453496001024 is an abundant number, since it is smaller than the sum of its proper divisors (74546603582976).

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

25453496001024 is a wasteful number, since it uses less digits than its factorization.

25453496001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 25453496001024 in words is "twenty-five trillion, four hundred fifty-three billion, four hundred ninety-six million, one thousand, twenty-four".