26481164340064 has 192 divisors, whose sum is σ = 62979277455360. Its totient is φ = 10720878819840.

The previous prime is 26481164340053. The next prime is 26481164340067. The reversal of 26481164340064 is 46004346118462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26481164340067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123586429 + ... + 123800515.

It is an arithmetic number, because the mean of its divisors is an integer number (328017070080).

Almost surely, 2^{26481164340064} 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 26481164340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489638727680).

26481164340064 is an abundant number, since it is smaller than the sum of its proper divisors (36498113115296).

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

26481164340064 is a wasteful number, since it uses less digits than its factorization.

26481164340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214561 (or 214553 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

The spelling of 26481164340064 in words is "twenty-six trillion, four hundred eighty-one billion, one hundred sixty-four million, three hundred forty thousand, sixty-four".