25975007782668 has 480 divisors, whose sum is σ = 82765728460800. Its totient is φ = 6938330120064.

The previous prime is 25975007782663. The next prime is 25975007782819. The reversal of 25975007782668 is 86628770057952.

25975007782668 is a `hidden beast` number, since 2 + 5 + 97 + 500 + 7 + 7 + 8 + 26 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25975007782596 and 25975007782605.

It is not an unprimeable number, because it can be changed into a prime (25975007782663) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3644588521 + ... + 3644595647.

It is an arithmetic number, because the mean of its divisors is an integer number (172428600960).

Almost surely, 2^{25975007782668} is an apocalyptic number.

25975007782668 is a gapful number since it is divisible by the number (28) 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 25975007782668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41382864230400).

25975007782668 is an abundant number, since it is smaller than the sum of its proper divisors (56790720678132).

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

25975007782668 is a wasteful number, since it uses less digits than its factorization.

25975007782668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 25975007782668 in words is "twenty-five trillion, nine hundred seventy-five billion, seven million, seven hundred eighty-two thousand, six hundred sixty-eight".