260406430160 has 40 divisors (see below), whose sum is σ = 605467888200. Its totient is φ = 104158625792.

The previous prime is 260406430159. The next prime is 260406430171. The reversal of 260406430160 is 61034604062.

260406430160 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 4 ways, for example, as 68260967824 + 192145462336 = 261268^2 + 438344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 3019316 + ... + 3104364.

It is an arithmetic number, because the mean of its divisors is an integer number (15136697205).

Almost surely, 2^260406430160 is an apocalyptic number.

260406430160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260406430160 is an abundant number, since it is smaller than the sum of its proper divisors (345061458040).

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

260406430160 is a wasteful number, since it uses less digits than its factorization.

260406430160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123335 (or 123329 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 260406430160 in words is "two hundred sixty billion, four hundred six million, four hundred thirty thousand, one hundred sixty".