26855784648 has 192 divisors, whose sum is σ = 91960427520. Its totient is φ = 6877180800.

The previous prime is 26855784647. The next prime is 26855784649. The reversal of 26855784648 is 84648755862.

26855784648 is a `hidden beast` number, since 26 + 85 + 5 + 78 + 464 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (26855784647) and next prime (26855784649).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (26855784647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359511 + ... + 427737.

It is an arithmetic number, because the mean of its divisors is an integer number (478960560).

Almost surely, 2^26855784648 is an apocalyptic number.

26855784648 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 26855784648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45980213760).

26855784648 is an abundant number, since it is smaller than the sum of its proper divisors (65104642872).

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

26855784648 is a wasteful number, since it uses less digits than its factorization.

26855784648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68328 (or 68321 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 26855784648 in words is "twenty-six billion, eight hundred fifty-five million, seven hundred eighty-four thousand, six hundred forty-eight".