26516643648768 has 864 divisors, whose sum is σ = 97372647590400. Its totient is φ = 6894712258560.

The previous prime is 26516643648751. The next prime is 26516643648769. The reversal of 26516643648768 is 86784634661562.

26516643648768 is a `hidden beast` number, since 2 + 6 + 51 + 6 + 6 + 4 + 36 + 487 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26516643648696 and 26516643648705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26516643648769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729402880 + ... + 729439232.

It is an arithmetic number, because the mean of its divisors is an integer number (112699823600).

Almost surely, 2^{26516643648768} is an apocalyptic number.

26516643648768 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 26516643648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686323795200).

26516643648768 is an abundant number, since it is smaller than the sum of its proper divisors (70856003941632).

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

26516643648768 is a wasteful number, since it uses less digits than its factorization.

26516643648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36480 (or 36449 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 26516643648768 in words is "twenty-six trillion, five hundred sixteen billion, six hundred forty-three million, six hundred forty-eight thousand, seven hundred sixty-eight".