260016612000000 has 1008 divisors, whose sum is σ = 891711690944256. Its totient is φ = 67212288000000.

The previous prime is 260016611999987. The next prime is 260016612000017. The reversal of 260016612000000 is 216610062.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 111 ways as a sum of consecutive naturals, for example, 138971999065 + ... + 138972000935.

It is an arithmetic number, because the mean of its divisors is an integer number (884634614032).

Almost surely, 2^{260016612000000} is an apocalyptic number.

260016612000000 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 260016612000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445855845472128).

260016612000000 is an abundant number, since it is smaller than the sum of its proper divisors (631695078944256).

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

260016612000000 is an frugal number, since it uses more digits than its factorization.

260016612000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 260016612000000 its reverse (216610062), we get a palindrome (260016828610062).

The spelling of 260016612000000 in words is "two hundred sixty trillion, sixteen billion, six hundred twelve million", and thus it is an aban number.