261464044050 has 288 divisors, whose sum is σ = 784904852160. Its totient is φ = 61861363200.

The previous prime is 261464044033. The next prime is 261464044069. The reversal of 261464044050 is 50440464162.

261464044050 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 640 + 4 + 4 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 261464043996 and 261464044014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51680421 + ... + 51685479.

It is an arithmetic number, because the mean of its divisors is an integer number (2725364070).

Almost surely, 2^261464044050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261464044050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392452426080).

261464044050 is an abundant number, since it is smaller than the sum of its proper divisors (523440808110).

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

261464044050 is a wasteful number, since it uses less digits than its factorization.

261464044050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 261464044050 in words is "two hundred sixty-one billion, four hundred sixty-four million, forty-four thousand, fifty".