26505505206640 has 240 divisors, whose sum is σ = 65043361244160. Its totient is φ = 10041711160320.

The previous prime is 26505505206629. The next prime is 26505505206643. The reversal of 26505505206640 is 4660250550562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26505505206643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933149385 + ... + 1933163095.

It is an arithmetic number, because the mean of its divisors is an integer number (271014005184).

Almost surely, 2^{26505505206640} is an apocalyptic number.

26505505206640 is a gapful number since it is divisible by the number (20) 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 26505505206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32521680622080).

26505505206640 is an abundant number, since it is smaller than the sum of its proper divisors (38537856037520).

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

26505505206640 is a wasteful number, since it uses less digits than its factorization.

26505505206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14328 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 26505505206640 in words is "twenty-six trillion, five hundred five billion, five hundred five million, two hundred six thousand, six hundred forty".