260964586833408 has 320 divisors, whose sum is σ = 823883174262720. Its totient is φ = 81273632587776.

The previous prime is 260964586833389. The next prime is 260964586833413. The reversal of 260964586833408 is 804338685469062.

260964586833408 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 6 + 4 + 586 + 8 + 3 + 34 + 0 + 8 = 666.

It is a super-2 number, since 2×260964586833408² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28143360 + ... + 36248832.

It is an arithmetic number, because the mean of its divisors is an integer number (2574634919571).

Almost surely, 2^{260964586833408} 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 260964586833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411941587131360).

260964586833408 is an abundant number, since it is smaller than the sum of its proper divisors (562918587429312).

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

260964586833408 is a wasteful number, since it uses less digits than its factorization.

260964586833408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8105654 (or 8105632 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 260964586833408 in words is "two hundred sixty trillion, nine hundred sixty-four billion, five hundred eighty-six million, eight hundred thirty-three thousand, four hundred eight".