261083664847760 has 40 divisors (see below), whose sum is σ = 618472719286200. Its totient is φ = 102463023183872.

The previous prime is 261083664847727. The next prime is 261083664847781. The reversal of 261083664847760 is 67748466380162.

It can be written as a sum of positive squares in 4 ways, for example, as 1294643454976 + 259789021392784 = 1137824^2 + 16117972^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 30788163785 + ... + 30788172264.

It is an arithmetic number, because the mean of its divisors is an integer number (15461817982155).

Almost surely, 2^{261083664847760} is an apocalyptic number.

261083664847760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261083664847760 is an abundant number, since it is smaller than the sum of its proper divisors (357389054438440).

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

261083664847760 is a wasteful number, since it uses less digits than its factorization.

261083664847760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61576336115 (or 61576336109 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 68.

The spelling of 261083664847760 in words is "two hundred sixty-one trillion, eighty-three billion, six hundred sixty-four million, eight hundred forty-seven thousand, seven hundred sixty".