26449256106 has 240 divisors, whose sum is σ = 75888489600. Its totient is φ = 6733673856.

The previous prime is 26449256089. The next prime is 26449256107. The reversal of 26449256106 is 60165294462.

26449256106 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 9 + 25 + 610 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (26449256107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5555355 + ... + 5560113.

It is an arithmetic number, because the mean of its divisors is an integer number (316202040).

Almost surely, 2^26449256106 is an apocalyptic number.

26449256106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26449256106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944244800).

26449256106 is an abundant number, since it is smaller than the sum of its proper divisors (49439233494).

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

26449256106 is a wasteful number, since it uses less digits than its factorization.

26449256106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26449256106 in words is "twenty-six billion, four hundred forty-nine million, two hundred fifty-six thousand, one hundred six".