25616961812448 has 168 divisors, whose sum is σ = 75720716719200. Its totient is φ = 8527105488384.

The previous prime is 25616961812447. The next prime is 25616961812483. The reversal of 25616961812448 is 84421816961652.

25616961812448 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 6 + 9 + 6 + 181 + 2 + 448 = 666.

It is a super-2 number, since 2×25616961812448² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25616961812447) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16009188 + ... + 17536476.

It is an arithmetic number, because the mean of its divisors is an integer number (450718551900).

Almost surely, 2^{25616961812448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25616961812448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37860358359600).

25616961812448 is an abundant number, since it is smaller than the sum of its proper divisors (50103754906752).

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

25616961812448 is an equidigital number, since it uses as much as digits as its factorization.

25616961812448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528036 (or 1528013 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 25616961812448 in words is "twenty-five trillion, six hundred sixteen billion, nine hundred sixty-one million, eight hundred twelve thousand, four hundred forty-eight".