25856048332800 has 2304 divisors, whose sum is σ = 110665928355840. Its totient is φ = 5648154624000.

The previous prime is 25856048332771. The next prime is 25856048332801. The reversal of 25856048332800 is 823384065852.

It is a happy number.

25856048332800 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 604 + 8 + 3 + 3 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25856048332801) 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 143 ways as a sum of consecutive naturals, for example, 135371980705 + ... + 135371980895.

It is an arithmetic number, because the mean of its divisors is an integer number (48032086960).

Almost surely, 2^{25856048332800} is an apocalyptic number.

25856048332800 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 25856048332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55332964177920).

25856048332800 is an abundant number, since it is smaller than the sum of its proper divisors (84809880023040).

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

25856048332800 is a wasteful number, since it uses less digits than its factorization.

25856048332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 25856048332800 in words is "twenty-five trillion, eight hundred fifty-six billion, forty-eight million, three hundred thirty-two thousand, eight hundred".