26088400260 has 288 divisors, whose sum is σ = 91178916192. Its totient is φ = 5980815360.

The previous prime is 26088400237. The next prime is 26088400267. The reversal of 26088400260 is 6200488062.

26088400260 is a `hidden beast` number, since 2 + 608 + 8 + 40 + 0 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3539774016 + 22548626244 = 59496^2 + 150162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26088400267) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3855280 + ... + 3862040.

It is an arithmetic number, because the mean of its divisors is an integer number (316593459).

Almost surely, 2^26088400260 is an apocalyptic number.

26088400260 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 26088400260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45589458096).

26088400260 is an abundant number, since it is smaller than the sum of its proper divisors (65090515932).

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

26088400260 is a wasteful number, since it uses less digits than its factorization.

26088400260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 26088400260 in words is "twenty-six billion, eighty-eight million, four hundred thousand, two hundred sixty".