260034724096 has 243 divisors, whose sum is σ = 629344088919. Its totient is φ = 106915221504.

The previous prime is 260034724093. The next prime is 260034724111. The reversal of 260034724096 is 690427430062.

The square root of 260034724096 is 509936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9169977600 + 250864746496 = 95760^2 + 500864^2 .

It is not an unprimeable number, because it can be changed into a prime (260034724093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1656272050 + ... + 1656272206.

Almost surely, 2^260034724096 is an apocalyptic number.

260034724096 is the 509936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260034724096

260034724096 is an abundant number, since it is smaller than the sum of its proper divisors (369309364823).

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

260034724096 is an frugal number, since it uses more digits than its factorization.

260034724096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 260034724096 in words is "two hundred sixty billion, thirty-four million, seven hundred twenty-four thousand, ninety-six".