25753256522928 has 240 divisors, whose sum is σ = 81610408682880. Its totient is φ = 7769634618240.

The previous prime is 25753256522921. The next prime is 25753256522947. The reversal of 25753256522928 is 82922565235752.

25753256522928 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 32 + 56 + 522 + 9 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (25753256522921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10780551 + ... + 12950937.

It is an arithmetic number, because the mean of its divisors is an integer number (340043369512).

Almost surely, 2^{25753256522928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25753256522928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40805204341440).

25753256522928 is an abundant number, since it is smaller than the sum of its proper divisors (55857152159952).

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

25753256522928 is a wasteful number, since it uses less digits than its factorization.

25753256522928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170653 (or 2170630 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 25753256522928 in words is "twenty-five trillion, seven hundred fifty-three billion, two hundred fifty-six million, five hundred twenty-two thousand, nine hundred twenty-eight".