26115913043748 has 288 divisors, whose sum is σ = 77591730408192. Its totient is φ = 7318386892800.

The previous prime is 26115913043729. The next prime is 26115913043777. The reversal of 26115913043748 is 84734031951162.

26115913043748 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 591 + 3 + 0 + 4 + 3 + 7 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26115913043694 and 26115913043703.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129146638 + ... + 129348698.

It is an arithmetic number, because the mean of its divisors is an integer number (269415730584).

It is a 2-persistent number, because it is pandigital, and so is 2⋅26115913043748 = 52231826087496, but 3⋅26115913043748 = 78347739131244 is not.

Almost surely, 2^{26115913043748} 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 26115913043748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38795865204096).

26115913043748 is an abundant number, since it is smaller than the sum of its proper divisors (51475817364444).

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

26115913043748 is a wasteful number, since it uses less digits than its factorization.

26115913043748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202435 (or 202430 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 26115913043748 in words is "twenty-six trillion, one hundred fifteen billion, nine hundred thirteen million, forty-three thousand, seven hundred forty-eight".