261850041360 has 200 divisors, whose sum is σ = 913352445720. Its totient is φ = 69526591488.

The previous prime is 261850041331. The next prime is 261850041373. The reversal of 261850041360 is 63140058162.

It is a happy number.

261850041360 is a `hidden beast` number, since 2 + 6 + 18 + 500 + 4 + 136 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35898123024 + 225951918336 = 189468^2 + 475344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1423126 + ... + 1596554.

Almost surely, 2^261850041360 is an apocalyptic number.

261850041360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261850041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456676222860).

261850041360 is an abundant number, since it is smaller than the sum of its proper divisors (651502404360).

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

261850041360 is a wasteful number, since it uses less digits than its factorization.

261850041360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173687 (or 173672 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 261850041360 in words is "two hundred sixty-one billion, eight hundred fifty million, forty-one thousand, three hundred sixty".