25680167649 has 48 divisors (see below), whose sum is σ = 41501116800. Its totient is φ = 15206496768.

The previous prime is 25680167647. The next prime is 25680167651. The reversal of 25680167649 is 94676108652.

25680167649 is a `hidden beast` number, since 2 + 568 + 0 + 1 + 6 + 76 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (25680167647) and next prime (25680167651).

It is not a de Polignac number, because 25680167649 - 2¹ = 25680167647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25680167595 and 25680167604.

It is not an unprimeable number, because it can be changed into a prime (25680167647) 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 47 ways as a sum of consecutive naturals, for example, 747747 + ... + 781335.

It is an arithmetic number, because the mean of its divisors is an integer number (864606600).

Almost surely, 2^25680167649 is an apocalyptic number.

It is an amenable number.

25680167649 is a deficient number, since it is larger than the sum of its proper divisors (15820949151).

25680167649 is a wasteful number, since it uses less digits than its factorization.

25680167649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33894 (or 33891 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 25680167649 in words is "twenty-five billion, six hundred eighty million, one hundred sixty-seven thousand, six hundred forty-nine".