260086097232 has 400 divisors, whose sum is σ = 859861715328. Its totient is φ = 75285365760.

The previous prime is 260086097207. The next prime is 260086097237. The reversal of 260086097232 is 232790680062.

260086097232 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 8 + 609 + 7 + 2 + 32 = 666.

260086097232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260086097237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23632243 + ... + 23643245.

Almost surely, 2^260086097232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260086097232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429930857664).

260086097232 is an abundant number, since it is smaller than the sum of its proper divisors (599775618096).

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

260086097232 is a wasteful number, since it uses less digits than its factorization.

260086097232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 260086097232 in words is "two hundred sixty billion, eighty-six million, ninety-seven thousand, two hundred thirty-two".