26578636560 has 240 divisors, whose sum is σ = 102640347264. Its totient is φ = 6037659648.

The previous prime is 26578636543. The next prime is 26578636583. The reversal of 26578636560 is 6563687562.

It is a happy number.

26578636560 is a `hidden beast` number, since 2 + 6 + 5 + 78 + 6 + 3 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 26578636497 and 26578636506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805344 + ... + 837696.

Almost surely, 2^26578636560 is an apocalyptic number.

26578636560 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 26578636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51320173632).

26578636560 is an abundant number, since it is smaller than the sum of its proper divisors (76061710704).

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

26578636560 is a wasteful number, since it uses less digits than its factorization.

26578636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32542 (or 32533 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 26578636560 in words is "twenty-six billion, five hundred seventy-eight million, six hundred thirty-six thousand, five hundred sixty".