26280745925625 has 135 divisors (see below), whose sum is σ = 49149149004241. Its totient is φ = 13527332112000.

The previous prime is 26280745925611. The next prime is 26280745925653. The reversal of 26280745925625 is 52652954708262.

The square root of 26280745925625 is 5126475.

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

26280745925625 is a `hidden beast` number, since 2 + 6 + 28 + 0 + 7 + 45 + 9 + 2 + 562 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 17796155665401 + 8484590260224 = 4218549^2 + 2912832^2 .

It is not a de Polignac number, because 26280745925625 - 2³⁵ = 26246386187257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11150081947 + ... + 11150084303.

Almost surely, 2^{26280745925625} is an apocalyptic number.

26280745925625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26280745925625 is the 5126475-th square number.

26280745925625 is the 2563238-th centered octagonal number.

It is an amenable number.

26280745925625 is a deficient number, since it is larger than the sum of its proper divisors (22868403078616).

26280745925625 is an frugal number, since it uses more digits than its factorization.

26280745925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 26280745925625 in words is "twenty-six trillion, two hundred eighty billion, seven hundred forty-five million, nine hundred twenty-five thousand, six hundred twenty-five".