1268336990880 has 1152 divisors, whose sum is σ = 4799742345216. Its totient is φ = 304006348800.

The previous prime is 1268336990863. The next prime is 1268336990897. The reversal of 1268336990880 is 880996338621.

1268336990880 is a `hidden beast` number, since 1 + 268 + 3 + 369 + 9 + 0 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1268336990863) and next prime (1268336990897).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9257934172 + ... + 9257934308.

It is an arithmetic number, because the mean of its divisors is an integer number (4166443008).

Almost surely, 2^{1268336990880} is an apocalyptic number.

1268336990880 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 1268336990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399871172608).

1268336990880 is an abundant number, since it is smaller than the sum of its proper divisors (3531405354336).

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

1268336990880 is a wasteful number, since it uses less digits than its factorization.

1268336990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1268336990880 in words is "one trillion, two hundred sixty-eight billion, three hundred thirty-six million, nine hundred ninety thousand, eight hundred eighty".