26425104592128 has 576 divisors, whose sum is σ = 84060948787200. Its totient is φ = 7278439956480.

The previous prime is 26425104592121. The next prime is 26425104592153. The reversal of 26425104592128 is 82129540152462.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26425104592121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549594393 + ... + 549642471.

It is an arithmetic number, because the mean of its divisors is an integer number (145939147200).

Almost surely, 2^{26425104592128} 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 26425104592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42030474393600).

26425104592128 is an abundant number, since it is smaller than the sum of its proper divisors (57635844195072).

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

26425104592128 is a wasteful number, since it uses less digits than its factorization.

26425104592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48258 (or 48244 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 26425104592128 in words is "twenty-six trillion, four hundred twenty-five billion, one hundred four million, five hundred ninety-two thousand, one hundred twenty-eight".