26864650004544 has 567 divisors, whose sum is σ = 87788206784551. Its totient is φ = 7848475514880.

The previous prime is 26864650004531. The next prime is 26864650004623. The reversal of 26864650004544 is 44540005646862.

The square root of 26864650004544 is 5183112.

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

26864650004544 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 46 + 50 + 0 + 0 + 4 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12024527169600 + 14840122834944 = 3467640^2 + 3852288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39681905134 + ... + 39681905810.

Almost surely, 2^{26864650004544} is an apocalyptic number.

26864650004544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26864650004544 is the 5183112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26864650004544

26864650004544 is an abundant number, since it is smaller than the sum of its proper divisors (60923556780007).

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

26864650004544 is an equidigital number, since it uses as much as digits as its factorization.

26864650004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 26864650004544 in words is "twenty-six trillion, eight hundred sixty-four billion, six hundred fifty million, four thousand, five hundred forty-four".