25952494848 has 432 divisors, whose sum is σ = 86066789760. Its totient is φ = 6897795072.

The previous prime is 25952494783. The next prime is 25952494849. The reversal of 25952494848 is 84849425952.

It is a junction number, because it is equal to n+sod(n) for n = 25952494791 and 25952494800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25952494849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72290893 + ... + 72291251.

It is an arithmetic number, because the mean of its divisors is an integer number (199228680).

Almost surely, 2^25952494848 is an apocalyptic number.

25952494848 is a gapful number since it is divisible by the number (28) 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 25952494848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43033394880).

25952494848 is an abundant number, since it is smaller than the sum of its proper divisors (60114294912).

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

25952494848 is a wasteful number, since it uses less digits than its factorization.

25952494848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 60.

The spelling of 25952494848 in words is "twenty-five billion, nine hundred fifty-two million, four hundred ninety-four thousand, eight hundred forty-eight".