25955774491761 has 9 divisors (see below), whose sum is σ = 37491696342841. Its totient is φ = 17303839471812.

The previous prime is 25955774491741. The next prime is 25955774491811. The reversal of 25955774491761 is 16719447755952.

The square root of 25955774491761 is 5094681.

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

25955774491761 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 5 + 7 + 7 + 449 + 176 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 25955774491761 - 2¹⁵ = 25955774458993 is a prime.

It is a super-2 number, since 2×25955774491761² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 25955774491761.

It is not an unprimeable number, because it can be changed into a prime (25955774491741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14434930 + ... + 16133156.

Almost surely, 2^{25955774491761} is an apocalyptic number.

25955774491761 is the 5094681-st square number.

25955774491761 is the 2547341-st centered octagonal number.

It is an amenable number.

25955774491761 is a deficient number, since it is larger than the sum of its proper divisors (11535921851080).

25955774491761 is an frugal number, since it uses more digits than its factorization.

25955774491761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396460 (or 1698230 counting only the distinct ones).

The product of its digits is 666792000, while the sum is 72.

The spelling of 25955774491761 in words is "twenty-five trillion, nine hundred fifty-five billion, seven hundred seventy-four million, four hundred ninety-one thousand, seven hundred sixty-one".