26469826560 has 384 divisors, whose sum is σ = 95078178000. Its totient is φ = 6804209664.

The previous prime is 26469826543. The next prime is 26469826577. The reversal of 26469826560 is 6562896462.

It is a happy number.

26469826560 is a `hidden beast` number, since 264 + 69 + 8 + 265 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (26469826543) and next prime (26469826577).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 26469826497 and 26469826506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42761931 + ... + 42762549.

Almost surely, 2^26469826560 is an apocalyptic number.

26469826560 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 26469826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47539089000).

26469826560 is an abundant number, since it is smaller than the sum of its proper divisors (68608351440).

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

26469826560 is an equidigital number, since it uses as much as digits as its factorization.

26469826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 26469826560 in words is "twenty-six billion, four hundred sixty-nine million, eight hundred twenty-six thousand, five hundred sixty".