260893832576 has 256 divisors, whose sum is σ = 610546083840. Its totient is φ = 110072438784.

The previous prime is 260893832501. The next prime is 260893832587. The reversal of 260893832576 is 675238398062.

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, 77346026 + ... + 77349398.

It is an arithmetic number, because the mean of its divisors is an integer number (2384945640).

Almost surely, 2^260893832576 is an apocalyptic number.

260893832576 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 260893832576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305273041920).

260893832576 is an abundant number, since it is smaller than the sum of its proper divisors (349652251264).

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

260893832576 is a wasteful number, since it uses less digits than its factorization.

260893832576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 260893832576 in words is "two hundred sixty billion, eight hundred ninety-three million, eight hundred thirty-two thousand, five hundred seventy-six".