1268826655120 has 80 divisors (see below), whose sum is σ = 3053171124720. Its totient is φ = 489800908800.

The previous prime is 1268826655099. The next prime is 1268826655123. The reversal of 1268826655120 is 215566288621.

It can be written as a sum of positive squares in 8 ways, for example, as 113898150144 + 1154928504976 = 337488^2 + 1074676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1268826655123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4886980 + ... + 5140060.

It is an arithmetic number, because the mean of its divisors is an integer number (38164639059).

Almost surely, 2^{1268826655120} is an apocalyptic number.

1268826655120 is a gapful number since it is divisible by the number (10) 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 1268826655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526585562360).

1268826655120 is an abundant number, since it is smaller than the sum of its proper divisors (1784344469600).

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

1268826655120 is a wasteful number, since it uses less digits than its factorization.

1268826655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255284 (or 255278 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 1268826655120 in words is "one trillion, two hundred sixty-eight billion, eight hundred twenty-six million, six hundred fifty-five thousand, one hundred twenty".