26500413744 has 240 divisors, whose sum is σ = 86268049920. Its totient is φ = 7437588480.

The previous prime is 26500413733. The next prime is 26500413757. The reversal of 26500413744 is 44731400562.

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 = 26500413699 and 26500413708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27123784 + ... + 27124760.

It is an arithmetic number, because the mean of its divisors is an integer number (359450208).

Almost surely, 2^26500413744 is an apocalyptic number.

26500413744 is a gapful number since it is divisible by the number (24) 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 26500413744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43134024960).

26500413744 is an abundant number, since it is smaller than the sum of its proper divisors (59767636176).

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

26500413744 is a wasteful number, since it uses less digits than its factorization.

26500413744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 26500413744 in words is "twenty-six billion, five hundred million, four hundred thirteen thousand, seven hundred forty-four".