26449608552768 has 224 divisors, whose sum is σ = 81859459344000. Its totient is φ = 8351483719680.

The previous prime is 26449608552767. The next prime is 26449608552799. The reversal of 26449608552768 is 86725580694462.

26449608552768 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 9 + 6 + 0 + 8 + 552 + 7 + 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 = 26449608552696 and 26449608552705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26449608552767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294425298 + ... + 294515118.

Almost surely, 2^{26449608552768} 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 26449608552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40929729672000).

26449608552768 is an abundant number, since it is smaller than the sum of its proper divisors (55409850791232).

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

26449608552768 is a wasteful number, since it uses less digits than its factorization.

26449608552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98830 (or 98814 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 26449608552768 in words is "twenty-six trillion, four hundred forty-nine billion, six hundred eight million, five hundred fifty-two thousand, seven hundred sixty-eight".