26541126821664 has 576 divisors, whose sum is σ = 96034983303168. Its totient is φ = 6763850956800.

The previous prime is 26541126821663. The next prime is 26541126821717. The reversal of 26541126821664 is 46612862114562.

It is a happy number.

26541126821664 is a `hidden beast` number, since 2 + 6 + 5 + 411 + 2 + 6 + 8 + 216 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26541126821664.

It is not an unprimeable number, because it can be changed into a prime (26541126821663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546753234 + ... + 546801774.

It is an arithmetic number, because the mean of its divisors is an integer number (166727401568).

Almost surely, 2^{26541126821664} is an apocalyptic number.

26541126821664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26541126821664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48017491651584).

26541126821664 is an abundant number, since it is smaller than the sum of its proper divisors (69493856481504).

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

26541126821664 is a wasteful number, since it uses less digits than its factorization.

26541126821664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49281 (or 49270 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 26541126821664 in words is "twenty-six trillion, five hundred forty-one billion, one hundred twenty-six million, eight hundred twenty-one thousand, six hundred sixty-four".