260805795228576 has 1728 divisors, whose sum is σ = 909893199196800. Its totient is φ = 70173323329536.

The previous prime is 260805795228571. The next prime is 260805795228617. The reversal of 260805795228576 is 675822597508062.

260805795228576 is a `hidden beast` number, since 2 + 608 + 0 + 5 + 7 + 9 + 5 + 2 + 2 + 8 + 5 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (260805795228571) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 130598794810 + ... + 130598796806.

It is an arithmetic number, because the mean of its divisors is an integer number (526558564350).

Almost surely, 2^{260805795228576} is an apocalyptic number.

260805795228576 is a gapful number since it is divisible by the number (26) 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 260805795228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454946599598400).

260805795228576 is an abundant number, since it is smaller than the sum of its proper divisors (649087403968224).

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

260805795228576 is a wasteful number, since it uses less digits than its factorization.

260805795228576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 260805795228576 in words is "two hundred sixty trillion, eight hundred five billion, seven hundred ninety-five million, two hundred twenty-eight thousand, five hundred seventy-six".