26981676121 has 9 divisors (see below), whose sum is σ = 27125176701. Its totient is φ = 26838933312.

The previous prime is 26981676107. The next prime is 26981676143. The reversal of 26981676121 is 12167618962.

It is a happy number.

The square root of 26981676121 is 164261.

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 1541426121 + 25440250000 = 39261^2 + 159500^2 .

It is a de Polignac number, because none of the positive numbers 2^k-26981676121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26981676151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45500001 + ... + 45500593.

Almost surely, 2^26981676121 is an apocalyptic number.

26981676121 is the 164261-st square number.

26981676121 is the 82131-st centered octagonal number.

It is an amenable number.

26981676121 is a deficient number, since it is larger than the sum of its proper divisors (143500580).

26981676121 is an frugal number, since it uses more digits than its factorization.

26981676121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 870 counting only the distinct ones).

The product of its digits is 435456, while the sum is 49.

Multiplying 26981676121 by its sum of digits (49), we get a square (1322102129929 = 1149827²).

The spelling of 26981676121 in words is "twenty-six billion, nine hundred eighty-one million, six hundred seventy-six thousand, one hundred twenty-one".