25946735125857 has 192 divisors, whose sum is σ = 45969550147584. Its totient is φ = 12671364625920.

The previous prime is 25946735125853. The next prime is 25946735125873. The reversal of 25946735125857 is 75852153764952.

It is not a de Polignac number, because 25946735125857 - 2² = 25946735125853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25946735125791 and 25946735125800.

It is not an unprimeable number, because it can be changed into a prime (25946735125853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 838572007 + ... + 838602947.

It is an arithmetic number, because the mean of its divisors is an integer number (239424740352).

Almost surely, 2^{25946735125857} is an apocalyptic number.

It is an amenable number.

25946735125857 is a deficient number, since it is larger than the sum of its proper divisors (20022815021727).

25946735125857 is a wasteful number, since it uses less digits than its factorization.

25946735125857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31196 (or 31177 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 69.

The spelling of 25946735125857 in words is "twenty-five trillion, nine hundred forty-six billion, seven hundred thirty-five million, one hundred twenty-five thousand, eight hundred fifty-seven".