25927109545689 has 135 divisors (see below), whose sum is σ = 44946819098181. Its totient is φ = 14880879470160.

The previous prime is 25927109545679. The next prime is 25927109545693. The reversal of 25927109545689 is 98654590172952.

The square root of 25927109545689 is 5091867.

It is a perfect power (a square), and thus also a powerful number.

25927109545689 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 7 + 1 + 0 + 9 + 54 + 568 + 9 = 666.

It is not a de Polignac number, because 25927109545689 - 2²³ = 25927101157081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25927109545639) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9577800474 + ... + 9577803180.

Almost surely, 2^{25927109545689} is an apocalyptic number.

25927109545689 is the 5091867-th square number.

25927109545689 is the 2545934-th centered octagonal number.

It is an amenable number.

25927109545689 is a deficient number, since it is larger than the sum of its proper divisors (19019709552492).

25927109545689 is an frugal number, since it uses more digits than its factorization.

25927109545689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 25927109545689 in words is "twenty-five trillion, nine hundred twenty-seven billion, one hundred nine million, five hundred forty-five thousand, six hundred eighty-nine".