25481068963200 has 1728 divisors, whose sum is σ = 103429766232000. Its totient is φ = 5953786675200.

The previous prime is 25481068963153. The next prime is 25481068963201. The reversal of 25481068963200 is 236986018452.

25481068963200 is a `hidden beast` number, since 2 + 5 + 481 + 0 + 6 + 89 + 63 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25481068963201) 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 215 ways as a sum of consecutive naturals, for example, 9330305835 + ... + 9330308565.

Almost surely, 2^{25481068963200} is an apocalyptic number.

25481068963200 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 25481068963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51714883116000).

25481068963200 is an abundant number, since it is smaller than the sum of its proper divisors (77948697268800).

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

25481068963200 is a wasteful number, since it uses less digits than its factorization.

25481068963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 25481068963200 in words is "twenty-five trillion, four hundred eighty-one billion, sixty-eight million, nine hundred sixty-three thousand, two hundred".