26560364544 has 306 divisors, whose sum is σ = 89353722120. Its totient is φ = 7580418048.

The previous prime is 26560364539. The next prime is 26560364549. The reversal of 26560364544 is 44546306562.

It is a happy number.

26560364544 is a `hidden beast` number, since 2 + 6 + 560 + 3 + 6 + 45 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (26560364539) and next prime (26560364549).

It is a self number, because there is not a number n which added to its sum of digits gives 26560364544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26560364549) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28900917 + ... + 28901835.

Almost surely, 2^26560364544 is an apocalyptic number.

26560364544 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 26560364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44676861060).

26560364544 is an abundant number, since it is smaller than the sum of its proper divisors (62793357576).

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

26560364544 is an frugal number, since it uses more digits than its factorization.

26560364544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 26560364544 in words is "twenty-six billion, five hundred sixty million, three hundred sixty-four thousand, five hundred forty-four".