26563796160 has 224 divisors, whose sum is σ = 92156596992. Its totient is φ = 6429265920.

The previous prime is 26563796141. The next prime is 26563796179. The reversal of 26563796160 is 6169736562.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26563796141) and next prime (26563796179).

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 31 ways as a sum of consecutive naturals, for example, 7992259 + ... + 7995581.

Almost surely, 2^26563796160 is an apocalyptic number.

26563796160 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 26563796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46078298496).

26563796160 is an abundant number, since it is smaller than the sum of its proper divisors (65592800832).

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

26563796160 is a wasteful number, since it uses less digits than its factorization.

26563796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 26563796160 in words is "twenty-six billion, five hundred sixty-three million, seven hundred ninety-six thousand, one hundred sixty".