261306775296 has 432 divisors, whose sum is σ = 893390604288. Its totient is φ = 71879270400.

The previous prime is 261306775271. The next prime is 261306775337. The reversal of 261306775296 is 692577603162.

261306775296 is a `hidden beast` number, since 26 + 1 + 30 + 67 + 7 + 529 + 6 = 666.

261306775296 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 105492010 + ... + 105494486.

Almost surely, 2^261306775296 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 261306775296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446695302144).

261306775296 is an abundant number, since it is smaller than the sum of its proper divisors (632083828992).

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

261306775296 is a wasteful number, since it uses less digits than its factorization.

261306775296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 261306775296 in words is "two hundred sixty-one billion, three hundred six million, seven hundred seventy-five thousand, two hundred ninety-six".