260928000000 has 728 divisors, whose sum is σ = 972668799680. Its totient is φ = 69120000000.

The previous prime is 260927999993. The next prime is 260928000007. The reversal of 260928000000 is 829062.

It is an interprime number because it is at equal distance from previous prime (260927999993) and next prime (260928000007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260928000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1727999925 + ... + 1728000075.

Almost surely, 2^260928000000 is an apocalyptic number.

260928000000 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 260928000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486334399840).

260928000000 is an abundant number, since it is smaller than the sum of its proper divisors (711740799680).

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

260928000000 is an frugal number, since it uses more digits than its factorization.

260928000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 260928000000 its reverse (829062), we get a palindrome (260928829062).

The spelling of 260928000000 in words is "two hundred sixty billion, nine hundred twenty-eight million", and thus it is an aban number.