26648567110656 has 528 divisors, whose sum is σ = 81014043015360. Its totient is φ = 8425136455680.

The previous prime is 26648567110631. The next prime is 26648567110667. The reversal of 26648567110656 is 65601176584662.

It is a happy number.

26648567110656 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 8 + 567 + 1 + 1 + 0 + 65 + 6 = 666.

It is a super-2 number, since 2×26648567110656² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26648567110593 and 26648567110602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5559890596 + ... + 5559895388.

Almost surely, 2^{26648567110656} 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 26648567110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40507021507680).

26648567110656 is an abundant number, since it is smaller than the sum of its proper divisors (54365475904704).

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

26648567110656 is a wasteful number, since it uses less digits than its factorization.

26648567110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 26648567110656 in words is "twenty-six trillion, six hundred forty-eight billion, five hundred sixty-seven million, one hundred ten thousand, six hundred fifty-six".