26590128128 has 96 divisors (see below), whose sum is σ = 57139992000. Its totient is φ = 12325158912.

The previous prime is 26590128127. The next prime is 26590128157. The reversal of 26590128128 is 82182109562.

It is not an unprimeable number, because it can be changed into a prime (26590128127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2326973 + ... + 2338371.

It is an arithmetic number, because the mean of its divisors is an integer number (595208250).

Almost surely, 2^26590128128 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 26590128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569996000).

26590128128 is an abundant number, since it is smaller than the sum of its proper divisors (30549863872).

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

26590128128 is a wasteful number, since it uses less digits than its factorization.

26590128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 26590128128 in words is "twenty-six billion, five hundred ninety million, one hundred twenty-eight thousand, one hundred twenty-eight".