260806224000 has 1280 divisors, whose sum is σ = 1055406044160. Its totient is φ = 56899584000.

The previous prime is 260806223987. The next prime is 260806224017. The reversal of 260806224000 is 422608062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3572687964 + ... + 3572688036.

It is an arithmetic number, because the mean of its divisors is an integer number (824535972).

Almost surely, 2^260806224000 is an apocalyptic number.

260806224000 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 260806224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527703022080).

260806224000 is an abundant number, since it is smaller than the sum of its proper divisors (794599820160).

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

260806224000 is an frugal number, since it uses more digits than its factorization.

260806224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 260806224000 in words is "two hundred sixty billion, eight hundred six million, two hundred twenty-four thousand".