25853442485760 has 320 divisors, whose sum is σ = 91882206662400. Its totient is φ = 6890600964096.

The previous prime is 25853442485753. The next prime is 25853442485771. The reversal of 25853442485760 is 6758424435852.

25853442485760 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 34 + 4 + 24 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131713771 + ... + 131909909.

It is an arithmetic number, because the mean of its divisors is an integer number (287131895820).

Almost surely, 2^{25853442485760} is an apocalyptic number.

25853442485760 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 25853442485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45941103331200).

25853442485760 is an abundant number, since it is smaller than the sum of its proper divisors (66028764176640).

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

25853442485760 is a wasteful number, since it uses less digits than its factorization.

25853442485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198078 (or 198056 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 63.

The spelling of 25853442485760 in words is "twenty-five trillion, eight hundred fifty-three billion, four hundred forty-two million, four hundred eighty-five thousand, seven hundred sixty".