260606104400 has 60 divisors (see below), whose sum is σ = 626297442300. Its totient is φ = 104210595840.

The previous prime is 260606104361. The next prime is 260606104411. The reversal of 260606104400 is 4401606062.

260606104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12271322176 + 248334782224 = 110776^2 + 498332^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233746 + ... + 1429454.

It is an arithmetic number, because the mean of its divisors is an integer number (10438290705).

Almost surely, 2^260606104400 is an apocalyptic number.

260606104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260606104400 is an abundant number, since it is smaller than the sum of its proper divisors (365691337900).

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

260606104400 is a wasteful number, since it uses less digits than its factorization.

260606104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199056 (or 199045 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 260606104400 in words is "two hundred sixty billion, six hundred six million, one hundred four thousand, four hundred".