26128233210240 has 2048 divisors, whose sum is σ = 119499452928000. Its totient is φ = 5251509780480.

The previous prime is 26128233210203. The next prime is 26128233210251. The reversal of 26128233210240 is 4201233282162.

26128233210240 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 82 + 332 + 1 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26128233210195 and 26128233210204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2852111260 + ... + 2852120420.

It is an arithmetic number, because the mean of its divisors is an integer number (58349342250).

Almost surely, 2^{26128233210240} is an apocalyptic number.

26128233210240 is a gapful number since it is divisible by the number (20) 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 26128233210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59749726464000).

26128233210240 is an abundant number, since it is smaller than the sum of its proper divisors (93371219717760).

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

26128233210240 is a wasteful number, since it uses less digits than its factorization.

26128233210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26128233210240 in words is "twenty-six trillion, one hundred twenty-eight billion, two hundred thirty-three million, two hundred ten thousand, two hundred forty".