26639711711256 has 640 divisors, whose sum is σ = 88803764467200. Its totient is φ = 6615714631680.

The previous prime is 26639711711251. The next prime is 26639711711269. The reversal of 26639711711256 is 65211711793662.

It is a junction number, because it is equal to n+sod(n) for n = 26639711711196 and 26639711711205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26639711711251) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 653378151 + ... + 653418921.

It is an arithmetic number, because the mean of its divisors is an integer number (138755881980).

Almost surely, 2^{26639711711256} 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 26639711711256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44401882233600).

26639711711256 is an abundant number, since it is smaller than the sum of its proper divisors (62164052755944).

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

26639711711256 is a wasteful number, since it uses less digits than its factorization.

26639711711256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40877 (or 40852 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 57.

The spelling of 26639711711256 in words is "twenty-six trillion, six hundred thirty-nine billion, seven hundred eleven million, seven hundred eleven thousand, two hundred fifty-six".