260908075008 has 432 divisors, whose sum is σ = 928197155340. Its totient is φ = 70156025856.

The previous prime is 260908075007. The next prime is 260908075013. The reversal of 260908075008 is 800570809062.

260908075008 is a `hidden beast` number, since 2 + 60 + 9 + 0 + 80 + 7 + 500 + 8 = 666.

260908075008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 260148962304 + 759112704 = 510048^2 + 27552^2 .

It is not an unprimeable number, because it can be changed into a prime (260908075007) 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 35 ways as a sum of consecutive naturals, for example, 15345360 + ... + 15362352.

Almost surely, 2^260908075008 is an apocalyptic number.

260908075008 is a gapful number since it is divisible by the number (28) 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 260908075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464098577670).

260908075008 is an abundant number, since it is smaller than the sum of its proper divisors (667289080332).

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

260908075008 is a wasteful number, since it uses less digits than its factorization.

260908075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17052 (or 17022 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 260908075008 in words is "two hundred sixty billion, nine hundred eight million, seventy-five thousand, eight".