260561142272 has 90 divisors (see below), whose sum is σ = 553456195677. Its totient is φ = 122524606464.

The previous prime is 260561142269. The next prime is 260561142299. The reversal of 260561142272 is 272241165062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 238472048896 + 22089093376 = 488336^2 + 148624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=360944.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196352873 + ... + 196354199.

Almost surely, 2^260561142272 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 260561142272

260561142272 is an abundant number, since it is smaller than the sum of its proper divisors (292895053405).

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

260561142272 is an frugal number, since it uses more digits than its factorization.

260561142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 260561142272 in words is "two hundred sixty billion, five hundred sixty-one million, one hundred forty-two thousand, two hundred seventy-two".