260644130208 has 960 divisors, whose sum is σ = 998537379840. Its totient is φ = 64721203200.

The previous prime is 260644130189. The next prime is 260644130209. The reversal of 260644130208 is 802031446062.

260644130208 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 441 + 3 + 0 + 208 = 666.

It is a super-2 number, since 2×260644130208² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (260644130209) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 637271508 + ... + 637271916.

It is an arithmetic number, because the mean of its divisors is an integer number (1040143104).

Almost surely, 2^260644130208 is an apocalyptic number.

260644130208 is a gapful number since it is divisible by the number (28) 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 260644130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499268689920).

260644130208 is an abundant number, since it is smaller than the sum of its proper divisors (737893249632).

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

260644130208 is a wasteful number, since it uses less digits than its factorization.

260644130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 260644130208 in words is "two hundred sixty billion, six hundred forty-four million, one hundred thirty thousand, two hundred eight".