260789801184 has 288 divisors, whose sum is σ = 845816235264. Its totient is φ = 75448074240.

The previous prime is 260789801143. The next prime is 260789801191. The reversal of 260789801184 is 481108987062.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×260789801184² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 260789801184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42039427 + ... + 42045629.

It is an arithmetic number, because the mean of its divisors is an integer number (2936861928).

Almost surely, 2^260789801184 is an apocalyptic number.

260789801184 is a gapful number since it is divisible by the number (24) 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 260789801184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422908117632).

260789801184 is an abundant number, since it is smaller than the sum of its proper divisors (585026434080).

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

260789801184 is a wasteful number, since it uses less digits than its factorization.

260789801184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 260789801184 in words is "two hundred sixty billion, seven hundred eighty-nine million, eight hundred one thousand, one hundred eighty-four".