25956403200000 has 2160 divisors, whose sum is σ = 115537238893440. Its totient is φ = 5467668480000.

The previous prime is 25956403199963. The next prime is 25956403200001. The reversal of 25956403200000 is 230465952.

25956403200000 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 640 + 3 + 2 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25956403200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41932799691 + ... + 41932800309.

Almost surely, 2^{25956403200000} is an apocalyptic number.

25956403200000 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 25956403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57768619446720).

25956403200000 is an abundant number, since it is smaller than the sum of its proper divisors (89580835693440).

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

25956403200000 is an frugal number, since it uses more digits than its factorization.

25956403200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 25956403200000 its reverse (230465952), we get a palindrome (25956633665952).

The spelling of 25956403200000 in words is "twenty-five trillion, nine hundred fifty-six billion, four hundred three million, two hundred thousand".