26422056977121 has 81 divisors (see below), whose sum is σ = 43906458207339. Its totient is φ = 15301298967552.

The previous prime is 26422056977119. The next prime is 26422056977161. The reversal of 26422056977121 is 12177965022462.

It is a happy number.

The square root of 26422056977121 is 5140239.

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

26422056977121 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 2 + 0 + 569 + 7 + 71 + 2 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 698536566225 + 25723520410896 = 835785^2 + 5071836^2 .

It is not a de Polignac number, because 26422056977121 - 2¹ = 26422056977119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26422056977101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3407974581 + ... + 3407982333.

Almost surely, 2^{26422056977121} is an apocalyptic number.

26422056977121 is the 5140239-th square number.

26422056977121 is the 2570120-th centered octagonal number.

It is an amenable number.

26422056977121 is a deficient number, since it is larger than the sum of its proper divisors (17484401230218).

26422056977121 is an frugal number, since it uses more digits than its factorization.

26422056977121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 26422056977121 in words is "twenty-six trillion, four hundred twenty-two billion, fifty-six million, nine hundred seventy-seven thousand, one hundred twenty-one".