26706253226112 has 960 divisors, whose sum is σ = 84657804454080. Its totient is φ = 8353265356800.

The previous prime is 26706253226087. The next prime is 26706253226119. The reversal of 26706253226112 is 21162235260762.

26706253226112 is a `hidden beast` number, since 2 + 6 + 7 + 0 + 6 + 2 + 5 + 3 + 22 + 611 + 2 = 666.

It is a super-2 number, since 2×26706253226112² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26706253226119) 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, 54391554187 + ... + 54391554677.

It is an arithmetic number, because the mean of its divisors is an integer number (88185212973).

Almost surely, 2^{26706253226112} 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 26706253226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42328902227040).

26706253226112 is an abundant number, since it is smaller than the sum of its proper divisors (57951551227968).

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

26706253226112 is a wasteful number, since it uses less digits than its factorization.

26706253226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 26706253226112 its reverse (21162235260762), we get a palindrome (47868488486874).

The spelling of 26706253226112 in words is "twenty-six trillion, seven hundred six billion, two hundred fifty-three million, two hundred twenty-six thousand, one hundred twelve".