260325526855680 has 2240 divisors, whose sum is σ = 1154161327334400. Its totient is φ = 55186717409280.

The previous prime is 260325526855567. The next prime is 260325526855711. The reversal of 260325526855680 is 86558625523062.

260325526855680 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 2 + 5 + 5 + 2 + 68 + 5 + 568 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 9014339481 + ... + 9014368359.

It is an arithmetic number, because the mean of its divisors is an integer number (515250592560).

Almost surely, 2^{260325526855680} is an apocalyptic number.

260325526855680 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 260325526855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577080663667200).

260325526855680 is an abundant number, since it is smaller than the sum of its proper divisors (893835800478720).

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

260325526855680 is a wasteful number, since it uses less digits than its factorization.

260325526855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28965 (or 28932 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 260325526855680 in words is "two hundred sixty trillion, three hundred twenty-five billion, five hundred twenty-six million, eight hundred fifty-five thousand, six hundred eighty".