26563655636560 has 320 divisors, whose sum is σ = 72303840829440. Its totient is φ = 8886779596800.

The previous prime is 26563655636537. The next prime is 26563655636563. The reversal of 26563655636560 is 6563655636562.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26563655636492 and 26563655636501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26563655636563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22378816287 + ... + 22378817473.

It is an arithmetic number, because the mean of its divisors is an integer number (225949502592).

Almost surely, 2^{26563655636560} is an apocalyptic number.

26563655636560 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 26563655636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36151920414720).

26563655636560 is an abundant number, since it is smaller than the sum of its proper divisors (45740185192880).

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

26563655636560 is a wasteful number, since it uses less digits than its factorization.

26563655636560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 524880000, while the sum is 64.

The spelling of 26563655636560 in words is "twenty-six trillion, five hundred sixty-three billion, six hundred fifty-five million, six hundred thirty-six thousand, five hundred sixty".