260294328000 has 336 divisors, whose sum is σ = 1064134853184. Its totient is φ = 59495731200.

The previous prime is 260294327933. The next prime is 260294328017. The reversal of 260294328000 is 823492062.

260294328000 is a `hidden beast` number, since 2 + 602 + 9 + 43 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245772 + ... + 762228.

Almost surely, 2^260294328000 is an apocalyptic number.

260294328000 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 260294328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532067426592).

260294328000 is an abundant number, since it is smaller than the sum of its proper divisors (803840525184).

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

260294328000 is a wasteful number, since it uses less digits than its factorization.

260294328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516497 (or 516474 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 260294328000 in words is "two hundred sixty billion, two hundred ninety-four million, three hundred twenty-eight thousand".