260835648000 has 640 divisors, whose sum is σ = 921678151680. Its totient is φ = 65260339200.

The previous prime is 260835647957. The next prime is 260835648011. The reversal of 260835648000 is 846538062.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463295719 + ... + 463296281.

It is an arithmetic number, because the mean of its divisors is an integer number (1440122112).

Almost surely, 2^260835648000 is an apocalyptic number.

260835648000 is a gapful number since it is divisible by the number (20) 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 260835648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460839075840).

260835648000 is an abundant number, since it is smaller than the sum of its proper divisors (660842503680).

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

260835648000 is a wasteful number, since it uses less digits than its factorization.

260835648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 260835648000 in words is "two hundred sixty billion, eight hundred thirty-five million, six hundred forty-eight thousand".