26443195128 has 576 divisors, whose sum is σ = 92434867200. Its totient is φ = 6674088960.

The previous prime is 26443195111. The next prime is 26443195153. The reversal of 26443195128 is 82159134462.

26443195128 is a `hidden beast` number, since 2 + 6 + 4 + 431 + 95 + 128 = 666.

Its product of digits (414720) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 297114508 + ... + 297114596.

It is an arithmetic number, because the mean of its divisors is an integer number (160477200).

Almost surely, 2^26443195128 is an apocalyptic number.

26443195128 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 26443195128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46217433600).

26443195128 is an abundant number, since it is smaller than the sum of its proper divisors (65991672072).

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

26443195128 is a wasteful number, since it uses less digits than its factorization.

26443195128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 26443195128 in words is "twenty-six billion, four hundred forty-three million, one hundred ninety-five thousand, one hundred twenty-eight".