260335360696320 has 3360 divisors, whose sum is σ = 1216116999694080. Its totient is φ = 52022052126720.

The previous prime is 260335360696303. The next prime is 260335360696349. The reversal of 260335360696320 is 23696063533062.

260335360696320 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 3 + 5 + 3 + 606 + 9 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 74573289775 + ... + 74573293265.

Almost surely, 2^{260335360696320} is an apocalyptic number.

260335360696320 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 260335360696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608058499847040).

260335360696320 is an abundant number, since it is smaller than the sum of its proper divisors (955781638997760).

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

260335360696320 is a wasteful number, since it uses less digits than its factorization.

260335360696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 54.

The spelling of 260335360696320 in words is "two hundred sixty trillion, three hundred thirty-five billion, three hundred sixty million, six hundred ninety-six thousand, three hundred twenty".