26769917952 has 288 divisors, whose sum is σ = 84113429400. Its totient is φ = 8167882752.

The previous prime is 26769917929. The next prime is 26769917963. The reversal of 26769917952 is 25971996762.

It can be written as a sum of positive squares in 4 ways, for example, as 26042213376 + 727704576 = 161376^2 + 26976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 26769917952.

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 23 ways as a sum of consecutive naturals, for example, 11592574 + ... + 11594882.

Almost surely, 2^26769917952 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 26769917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42056714700).

26769917952 is an abundant number, since it is smaller than the sum of its proper divisors (57343511448).

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

26769917952 is a wasteful number, since it uses less digits than its factorization.

26769917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2368 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The spelling of 26769917952 in words is "twenty-six billion, seven hundred sixty-nine million, nine hundred seventeen thousand, nine hundred fifty-two".