26027565064116 has 192 divisors, whose sum is σ = 78199251271680. Its totient is φ = 6538961520000.

The previous prime is 26027565064091. The next prime is 26027565064117. The reversal of 26027565064116 is 61146056572062.

It is a super-2 number, since 2×26027565064116² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26027565064117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55651575 + ... + 56117313.

It is an arithmetic number, because the mean of its divisors is an integer number (407287767040).

Almost surely, 2^{26027565064116} 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 26027565064116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39099625635840).

26027565064116 is an abundant number, since it is smaller than the sum of its proper divisors (52171686207564).

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

26027565064116 is a wasteful number, since it uses less digits than its factorization.

26027565064116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467746 (or 467744 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 26027565064116 in words is "twenty-six trillion, twenty-seven billion, five hundred sixty-five million, sixty-four thousand, one hundred sixteen".