261775964849760 has 576 divisors, whose sum is σ = 942879242672640. Its totient is φ = 66003695493120.

The previous prime is 261775964849687. The next prime is 261775964849797. The reversal of 261775964849760 is 67948469577162.

261775964849760 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 7 + 5 + 9 + 64 + 8 + 497 + 60 = 666.

261775964849760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261775964849760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13403091195 + ... + 13403110725.

It is an arithmetic number, because the mean of its divisors is an integer number (1636943129640).

Almost surely, 2^{261775964849760} is an apocalyptic number.

261775964849760 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 261775964849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471439621336320).

261775964849760 is an abundant number, since it is smaller than the sum of its proper divisors (681103277822880).

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

261775964849760 is a wasteful number, since it uses less digits than its factorization.

261775964849760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24211 (or 24200 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 261775964849760 in words is "two hundred sixty-one trillion, seven hundred seventy-five billion, nine hundred sixty-four million, eight hundred forty-nine thousand, seven hundred sixty".