260416312200 has 1920 divisors, whose sum is σ = 1120042598400. Its totient is φ = 55323648000.

The previous prime is 260416312151. The next prime is 260416312223. The reversal of 260416312200 is 2213614062.

260416312200 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 1 + 631 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4413835771 + ... + 4413835829.

It is an arithmetic number, because the mean of its divisors is an integer number (583355520).

Almost surely, 2^260416312200 is an apocalyptic number.

260416312200 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 260416312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560021299200).

260416312200 is an abundant number, since it is smaller than the sum of its proper divisors (859626286200).

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

260416312200 is a wasteful number, since it uses less digits than its factorization.

260416312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 260416312200 its reverse (2213614062), we get a palindrome (262629926262).

The spelling of 260416312200 in words is "two hundred sixty billion, four hundred sixteen million, three hundred twelve thousand, two hundred".