261260398336 has 108 divisors (see below), whose sum is σ = 607972531320. Its totient is φ = 111723386880.

The previous prime is 261260398247. The next prime is 261260398409. The reversal of 261260398336 is 633893062162.

261260398336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 261260398336.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5760195 + ... + 5805373.

It is an arithmetic number, because the mean of its divisors is an integer number (5629375290).

Almost surely, 2^261260398336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261260398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303986265660).

261260398336 is an abundant number, since it is smaller than the sum of its proper divisors (346712132984).

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

261260398336 is an equidigital number, since it uses as much as digits as its factorization.

261260398336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45670 (or 45649 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 261260398336 in words is "two hundred sixty-one billion, two hundred sixty million, three hundred ninety-eight thousand, three hundred thirty-six".