261459345060 has 144 divisors (see below), whose sum is σ = 795563264496. Its totient is φ = 69505744896.

The previous prime is 261459345047. The next prime is 261459345071. The reversal of 261459345060 is 60543954162.

261459345060 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 593 + 4 + 50 + 6 + 0 = 666.

261459345060 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 8 ways, for example, as 147621934656 + 113837410404 = 384216^2 + 337398^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 261459344997 and 261459345015.

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 47 ways as a sum of consecutive naturals, for example, 107286162 + ... + 107288598.

Almost surely, 2^261459345060 is an apocalyptic number.

261459345060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261459345060 is an abundant number, since it is smaller than the sum of its proper divisors (534103919436).

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

261459345060 is a wasteful number, since it uses less digits than its factorization.

261459345060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 261459345060 in words is "two hundred sixty-one billion, four hundred fifty-nine million, three hundred forty-five thousand, sixty".