261241593937920 has 360 divisors, whose sum is σ = 953273617208640. Its totient is φ = 65997872824320.

The previous prime is 261241593937897. The next prime is 261241593937927. The reversal of 261241593937920 is 29739395142162.

261241593937920 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 4 + 1 + 593 + 9 + 37 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (261241593937927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4683805 + ... + 23332835.

It is an arithmetic number, because the mean of its divisors is an integer number (2647982270024).

Almost surely, 2^{261241593937920} is an apocalyptic number.

261241593937920 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 261241593937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476636808604320).

261241593937920 is an abundant number, since it is smaller than the sum of its proper divisors (692032023270720).

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

261241593937920 is a wasteful number, since it uses less digits than its factorization.

261241593937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18649089 (or 18649060 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 261241593937920 in words is "two hundred sixty-one trillion, two hundred forty-one billion, five hundred ninety-three million, nine hundred thirty-seven thousand, nine hundred twenty".