260855663328 has 432 divisors, whose sum is σ = 880156302480. Its totient is φ = 75533451264.

The previous prime is 260855663309. The next prime is 260855663329. The reversal of 260855663328 is 823366558062.

260855663328 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 556 + 63 + 3 + 28 = 666.

260855663328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260855663329) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 29209968 + ... + 29218896.

Almost surely, 2^260855663328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260855663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440078151240).

260855663328 is an abundant number, since it is smaller than the sum of its proper divisors (619300639152).

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

260855663328 is a wasteful number, since it uses less digits than its factorization.

260855663328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9001 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 260855663328 in words is "two hundred sixty billion, eight hundred fifty-five million, six hundred sixty-three thousand, three hundred twenty-eight".