25964585106741 has 12 divisors (see below), whose sum is σ = 37506271420800. Its totient is φ = 17308859999400.

The previous prime is 25964585106731. The next prime is 25964585106749. The reversal of 25964585106741 is 14760158546952.

It is a happy number.

25964585106741 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 4 + 58 + 510 + 67 + 4 + 1 = 666.

It is not a de Polignac number, because 25964585106741 - 2¹⁴ = 25964585090357 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25964585106749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71759941 + ... + 72120858.

It is an arithmetic number, because the mean of its divisors is an integer number (3125522618400).

Almost surely, 2^{25964585106741} is an apocalyptic number.

It is an amenable number.

25964585106741 is a deficient number, since it is larger than the sum of its proper divisors (11541686314059).

25964585106741 is a wasteful number, since it uses less digits than its factorization.

25964585106741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143900856 (or 143900853 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 25964585106741 in words is "twenty-five trillion, nine hundred sixty-four billion, five hundred eighty-five million, one hundred six thousand, seven hundred forty-one".