26864970048 has 672 divisors, whose sum is σ = 98394316800. Its totient is φ = 6831931392.

The previous prime is 26864970037. The next prime is 26864970073. The reversal of 26864970048 is 84007946862.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 26864969976 and 26864970003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139196640 + ... + 139196832.

Almost surely, 2^26864970048 is an apocalyptic number.

26864970048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26864970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49197158400).

26864970048 is an abundant number, since it is smaller than the sum of its proper divisors (71529346752).

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

26864970048 is a wasteful number, since it uses less digits than its factorization.

26864970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 26864970048 in words is "twenty-six billion, eight hundred sixty-four million, nine hundred seventy thousand, forty-eight".