260081203200 has 1152 divisors, whose sum is σ = 1105579238400. Its totient is φ = 52423557120.

The previous prime is 260081203171. The next prime is 260081203231. The reversal of 260081203200 is 2302180062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 321484396 + ... + 321485204.

It is an arithmetic number, because the mean of its divisors is an integer number (959704200).

Almost surely, 2^260081203200 is an apocalyptic number.

260081203200 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 260081203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552789619200).

260081203200 is an abundant number, since it is smaller than the sum of its proper divisors (845498035200).

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

260081203200 is a wasteful number, since it uses less digits than its factorization.

260081203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 260081203200 its reverse (2302180062), we get a palindrome (262383383262).

The spelling of 260081203200 in words is "two hundred sixty billion, eighty-one million, two hundred three thousand, two hundred".