260143058681856 has 1792 divisors, whose sum is σ = 964216727625600. Its totient is φ = 68480604831744.

The previous prime is 260143058681827. The next prime is 260143058681887. The reversal of 260143058681856 is 658186850341062.

260143058681856 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 4 + 30 + 586 + 8 + 18 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 260143058681793 and 260143058681802.

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 111 ways as a sum of consecutive naturals, for example, 117552217006 + ... + 117552219218.

Almost surely, 2^{260143058681856} 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 260143058681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482108363812800).

260143058681856 is an abundant number, since it is smaller than the sum of its proper divisors (704073668943744).

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

260143058681856 is an frugal number, since it uses more digits than its factorization.

260143058681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 260143058681856 in words is "two hundred sixty trillion, one hundred forty-three billion, fifty-eight million, six hundred eighty-one thousand, eight hundred fifty-six".