26563663360 has 160 divisors (see below), whose sum is σ = 69010270560. Its totient is φ = 9806045184.

The previous prime is 26563663333. The next prime is 26563663367. The reversal of 26563663360 is 6336636562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×26563663360² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26563663360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26563663367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5621959 + ... + 5626681.

It is an arithmetic number, because the mean of its divisors is an integer number (431314191).

Almost surely, 2^26563663360 is an apocalyptic number.

26563663360 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 26563663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34505135280).

26563663360 is an abundant number, since it is smaller than the sum of its proper divisors (42446607200).

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

26563663360 is an frugal number, since it uses more digits than its factorization.

26563663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 46.

The spelling of 26563663360 in words is "twenty-six billion, five hundred sixty-three million, six hundred sixty-three thousand, three hundred sixty".