260305354169952 has 768 divisors, whose sum is σ = 905403250483200. Its totient is φ = 63529848668160.

The previous prime is 260305354169921. The next prime is 260305354169977. The reversal of 260305354169952 is 259961453503062.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 37405565449 + ... + 37405572407.

It is an arithmetic number, because the mean of its divisors is an integer number (1178910482400).

Almost surely, 2^{260305354169952} 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 260305354169952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452701625241600).

260305354169952 is an abundant number, since it is smaller than the sum of its proper divisors (645097896313248).

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

260305354169952 is a wasteful number, since it uses less digits than its factorization.

260305354169952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 60.

The spelling of 260305354169952 in words is "two hundred sixty trillion, three hundred five billion, three hundred fifty-four million, one hundred sixty-nine thousand, nine hundred fifty-two".