26881746627121 has 9 divisors (see below), whose sum is σ = 27209960807961. Its totient is φ = 26557445011332.

The previous prime is 26881746627091. The next prime is 26881746627133. The reversal of 26881746627121 is 12172664718862.

It is a happy number.

The square root of 26881746627121 is 5184761.

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

It is not a de Polignac number, because 26881746627121 - 2⁷ = 26881746626993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26881746627121.

It is not an unprimeable number, because it can be changed into a prime (26881746627821) 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 8 ways as a sum of consecutive naturals, for example, 430303930 + ... + 430366396.

Almost surely, 2^{26881746627121} is an apocalyptic number.

26881746627121 is the 5184761-st square number.

26881746627121 is the 2592381-st centered octagonal number.

It is an amenable number.

26881746627121 is a deficient number, since it is larger than the sum of its proper divisors (328214180840).

26881746627121 is an frugal number, since it uses more digits than its factorization.

26881746627121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125100 (or 62550 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 61.

The spelling of 26881746627121 in words is "twenty-six trillion, eight hundred eighty-one billion, seven hundred forty-six million, six hundred twenty-seven thousand, one hundred twenty-one".