25895068848000 has 2560 divisors, whose sum is σ = 113035105497600. Its totient is φ = 5804974080000.

The previous prime is 25895068847969. The next prime is 25895068848013. The reversal of 25895068848000 is 84886059852.

25895068848000 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 506 + 88 + 48 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14298767095 + ... + 14298768905.

It is an arithmetic number, because the mean of its divisors is an integer number (44154338085).

Almost surely, 2^{25895068848000} is an apocalyptic number.

25895068848000 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 25895068848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56517552748800).

25895068848000 is an abundant number, since it is smaller than the sum of its proper divisors (87140036649600).

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

25895068848000 is a wasteful number, since it uses less digits than its factorization.

25895068848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 25895068848000 in words is "twenty-five trillion, eight hundred ninety-five billion, sixty-eight million, eight hundred forty-eight thousand".