260305424170000 has 200 divisors, whose sum is σ = 687700574748000. Its totient is φ = 94631475840000.

The previous prime is 260305424169979. The next prime is 260305424170081. The reversal of 260305424170000 is 71424503062.

260305424170000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418018876 + ... + 418641124.

It is an arithmetic number, because the mean of its divisors is an integer number (3438502873740).

Almost surely, 2^{260305424170000} is an apocalyptic number.

260305424170000 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 260305424170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343850287374000).

260305424170000 is an abundant number, since it is smaller than the sum of its proper divisors (427395150578000).

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

260305424170000 is a wasteful number, since it uses less digits than its factorization.

260305424170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626091 (or 626070 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 260305424170000 its reverse (71424503062), we get a palindrome (260376848673062).

The spelling of 260305424170000 in words is "two hundred sixty trillion, three hundred five billion, four hundred twenty-four million, one hundred seventy thousand".