1261759908864 has 1408 divisors, whose sum is σ = 4601420185600. Its totient is φ = 298120642560.

The previous prime is 1261759908847. The next prime is 1261759908869. The reversal of 1261759908864 is 4688099571621.

It is a junction number, because it is equal to n+sod(n) for n = 1261759908795 and 1261759908804.

It is not an unprimeable number, because it can be changed into a prime (1261759908869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13007834064 + ... + 13007834160.

Almost surely, 2^{1261759908864} is an apocalyptic number.

1261759908864 is a gapful number since it is divisible by the number (14) 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 1261759908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300710092800).

1261759908864 is an abundant number, since it is smaller than the sum of its proper divisors (3339660276736).

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

1261759908864 is a wasteful number, since it uses less digits than its factorization.

1261759908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 1261759908864 in words is "one trillion, two hundred sixty-one billion, seven hundred fifty-nine million, nine hundred eight thousand, eight hundred sixty-four".