260632610200 has 192 divisors, whose sum is σ = 657018662400. Its totient is φ = 95815872000.

The previous prime is 260632610197. The next prime is 260632610213. The reversal of 260632610200 is 2016236062.

It is a happy number.

260632610200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51597675 + ... + 51602725.

It is an arithmetic number, because the mean of its divisors is an integer number (3421972200).

Almost surely, 2^260632610200 is an apocalyptic number.

260632610200 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 260632610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328509331200).

260632610200 is an abundant number, since it is smaller than the sum of its proper divisors (396386052200).

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

260632610200 is a wasteful number, since it uses less digits than its factorization.

260632610200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 260632610200 its reverse (2016236062), we get a palindrome (262648846262).

The spelling of 260632610200 in words is "two hundred sixty billion, six hundred thirty-two million, six hundred ten thousand, two hundred".