26972381952828 has 648 divisors, whose sum is σ = 80437688564688. Its totient is φ = 7896994560000.

The previous prime is 26972381952757. The next prime is 26972381952839. The reversal of 26972381952828 is 82825918327962.

It is a happy number.

26972381952828 is a `hidden beast` number, since 2 + 6 + 9 + 72 + 3 + 8 + 1 + 9 + 528 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9629553028 + ... + 9629555828.

Almost surely, 2^{26972381952828} 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 26972381952828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40218844282344).

26972381952828 is an abundant number, since it is smaller than the sum of its proper divisors (53465306611860).

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

26972381952828 is a wasteful number, since it uses less digits than its factorization.

26972381952828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2911 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 26972381952828 in words is "twenty-six trillion, nine hundred seventy-two billion, three hundred eighty-one million, nine hundred fifty-two thousand, eight hundred twenty-eight".