26983921106025 has 243 divisors, whose sum is σ = 55630087484751. Its totient is φ = 12494978196480.

The previous prime is 26983921106017. The next prime is 26983921106041. The reversal of 26983921106025 is 52060112938962.

The square root of 26983921106025 is 5194605.

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

26983921106025 is a `hidden beast` number, since 2 + 6 + 9 + 8 + 3 + 9 + 21 + 1 + 0 + 602 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 19651870239849 + 7332050866176 = 4433043^2 + 2707776^2 .

It is not a de Polignac number, because 26983921106025 - 2³ = 26983921106017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 17220114792 + ... + 17220116358.

Almost surely, 2^{26983921106025} is an apocalyptic number.

26983921106025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26983921106025 is the 5194605-th square number.

26983921106025 is the 2597303-rd centered octagonal number.

It is an amenable number.

26983921106025 is an abundant number, since it is smaller than the sum of its proper divisors (28646166378726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26983921106025 is a wasteful number, since it uses less digits than its factorization.

26983921106025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 26983921106025 in words is "twenty-six trillion, nine hundred eighty-three billion, nine hundred twenty-one million, one hundred six thousand, twenty-five".