26315746560 has 360 divisors, whose sum is σ = 95959238760. Its totient is φ = 6883688448.

The previous prime is 26315746559. The next prime is 26315746571. The reversal of 26315746560 is 6564751362.

26315746560 is a `hidden beast` number, since 2 + 6 + 3 + 15 + 74 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 812934144 + 25502812416 = 28512^2 + 159696^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5492646 + ... + 5497434.

It is an arithmetic number, because the mean of its divisors is an integer number (266553441).

Almost surely, 2^26315746560 is an apocalyptic number.

26315746560 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 26315746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47979619380).

26315746560 is an abundant number, since it is smaller than the sum of its proper divisors (69643492200).

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

26315746560 is an equidigital number, since it uses as much as digits as its factorization.

26315746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 26315746560 in words is "twenty-six billion, three hundred fifteen million, seven hundred forty-six thousand, five hundred sixty".