26289942982272 has 320 divisors, whose sum is σ = 79014189962400. Its totient is φ = 8676766365696.

The previous prime is 26289942982217. The next prime is 26289942982333. The reversal of 26289942982272 is 27228924998262.

It is a happy number.

26289942982272 is a `hidden beast` number, since 2 + 6 + 28 + 9 + 94 + 298 + 227 + 2 = 666.

It is a super-2 number, since 2×26289942982272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 26289942982272.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 537525243 + ... + 537574149.

Almost surely, 2^{26289942982272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26289942982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39507094981200).

26289942982272 is an abundant number, since it is smaller than the sum of its proper divisors (52724246980128).

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

26289942982272 is a wasteful number, since it uses less digits than its factorization.

26289942982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49445 (or 49424 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 26289942982272 in words is "twenty-six trillion, two hundred eighty-nine billion, nine hundred forty-two million, nine hundred eighty-two thousand, two hundred seventy-two".