26560690560 has 320 divisors, whose sum is σ = 96011380080. Its totient is φ = 6996381696.

The previous prime is 26560690483. The next prime is 26560690573. The reversal of 26560690560 is 6509606562.

26560690560 is a `hidden beast` number, since 26 + 5 + 6 + 0 + 69 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×26560690560³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4299634 + ... + 4305806.

Almost surely, 2^26560690560 is an apocalyptic number.

26560690560 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 26560690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48005690040).

26560690560 is an abundant number, since it is smaller than the sum of its proper divisors (69450689520).

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

26560690560 is an equidigital number, since it uses as much as digits as its factorization.

26560690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 26560690560 in words is "twenty-six billion, five hundred sixty million, six hundred ninety thousand, five hundred sixty".