26527845969361 has 27 divisors (see below), whose sum is σ = 29495620301329. Its totient is φ = 23840722347200.

The previous prime is 26527845969337. The next prime is 26527845969367. The reversal of 26527845969361 is 16396954872562.

The square root of 26527845969361 is 5150519.

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

It can be written as a sum of positive squares in 4 ways, for example, as 154896557761 + 26372949411600 = 393569^2 + 5135460^2 .

It is not a de Polignac number, because 26527845969361 - 2⁵ = 26527845969329 is a prime.

It is a super-2 number, since 2×26527845969361² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26527845969367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5042355471 + ... + 5042360731.

Almost surely, 2^{26527845969361} is an apocalyptic number.

26527845969361 is the 5150519-th square number.

26527845969361 is the 2575260-th centered octagonal number.

It is an amenable number.

26527845969361 is a deficient number, since it is larger than the sum of its proper divisors (2967774331968).

26527845969361 is an frugal number, since it uses more digits than its factorization.

26527845969361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722 (or 5361 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 73.

The spelling of 26527845969361 in words is "twenty-six trillion, five hundred twenty-seven billion, eight hundred forty-five million, nine hundred sixty-nine thousand, three hundred sixty-one".