260380762686720 has 720 divisors, whose sum is σ = 1062379623690000. Its totient is φ = 60323501703168.

The previous prime is 260380762686701. The next prime is 260380762686731. The reversal of 260380762686720 is 27686267083062.

It is a happy number.

260380762686720 is a `hidden beast` number, since 2 + 60 + 380 + 7 + 62 + 68 + 67 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5803165368576 + 254577597318144 = 2408976^2 + 15955488^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17231406 + ... + 28595154.

It is an arithmetic number, because the mean of its divisors is an integer number (1475527255125).

Almost surely, 2^{260380762686720} is an apocalyptic number.

260380762686720 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 260380762686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531189811845000).

260380762686720 is an abundant number, since it is smaller than the sum of its proper divisors (801998861003280).

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

260380762686720 is a wasteful number, since it uses less digits than its factorization.

260380762686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363812 (or 11363789 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 260380762686720 in words is "two hundred sixty trillion, three hundred eighty billion, seven hundred sixty-two million, six hundred eighty-six thousand, seven hundred twenty".