260849357952 has 128 divisors (see below), whose sum is σ = 698216112000. Its totient is φ = 86282649600.

The previous prime is 260849357851. The next prime is 260849357971. The reversal of 260849357952 is 259753948062.

260849357952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 30330549 + ... + 30339147.

It is an arithmetic number, because the mean of its divisors is an integer number (5454813375).

Almost surely, 2^260849357952 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 260849357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349108056000).

260849357952 is an abundant number, since it is smaller than the sum of its proper divisors (437366754048).

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

260849357952 is a wasteful number, since it uses less digits than its factorization.

260849357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 260849357952 in words is "two hundred sixty billion, eight hundred forty-nine million, three hundred fifty-seven thousand, nine hundred fifty-two".