26760456648601 has 27 divisors (see below), whose sum is σ = 29076014651229. Its totient is φ = 24618094480512.

The previous prime is 26760456648593. The next prime is 26760456648647. The reversal of 26760456648601 is 10684665406762.

The square root of 26760456648601 is 5173051.

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 14693031256201 + 12067425392400 = 3833149^2 + 3473820^2 .

It is not a de Polignac number, because 26760456648601 - 2³ = 26760456648593 is a prime.

It is a super-2 number, since 2×26760456648601² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26760456648601.

It is not an unprimeable number, because it can be changed into a prime (26760456643601) 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 26 ways as a sum of consecutive naturals, for example, 29119103620 + ... + 29119104538.

It is an arithmetic number, because the mean of its divisors is an integer number (1076889431527).

Almost surely, 2^{26760456648601} is an apocalyptic number.

26760456648601 is the 5173051-st square number.

26760456648601 is the 2586526-th centered octagonal number.

It is an amenable number.

26760456648601 is a deficient number, since it is larger than the sum of its proper divisors (2315558002628).

26760456648601 is an frugal number, since it uses more digits than its factorization.

26760456648601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 26760456648601 in words is "twenty-six trillion, seven hundred sixty billion, four hundred fifty-six million, six hundred forty-eight thousand, six hundred one".