25679866857993 has 6 divisors (see below), whose sum is σ = 37093141017114. Its totient is φ = 17119911238656.

The previous prime is 25679866857979. The next prime is 25679866858007. The reversal of 25679866857993 is 39975866897652.

25679866857993 is a `hidden beast` number, since 25 + 6 + 7 + 9 + 8 + 6 + 6 + 8 + 579 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (25679866857979) and next prime (25679866858007).

It can be written as a sum of positive squares in only one way, i.e., 22701384572409 + 2978482285584 = 4764597^2 + 1725828^2 .

It is not a de Polignac number, because 25679866857993 - 2¹⁸ = 25679866595849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25679866852993) 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 5 ways as a sum of consecutive naturals, for example, 1426659269880 + ... + 1426659269897.

It is an arithmetic number, because the mean of its divisors is an integer number (6182190169519).

Almost surely, 2^{25679866857993} is an apocalyptic number.

It is an amenable number.

25679866857993 is a deficient number, since it is larger than the sum of its proper divisors (11413274159121).

25679866857993 is a wasteful number, since it uses less digits than its factorization.

25679866857993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853318539783 (or 2853318539780 counting only the distinct ones).

The product of its digits is 74071065600, while the sum is 90.

The spelling of 25679866857993 in words is "twenty-five trillion, six hundred seventy-nine billion, eight hundred sixty-six million, eight hundred fifty-seven thousand, nine hundred ninety-three".