1268968109760 has 840 divisors, whose sum is σ = 4928525876736. Its totient is φ = 309765980160.

The previous prime is 1268968109737. The next prime is 1268968109771. The reversal of 1268968109760 is 679018698621.

It is a super-2 number, since 2×1268968109760² (a number of 25 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 556319820 + ... + 556322100.

Almost surely, 2^{1268968109760} is an apocalyptic number.

1268968109760 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 1268968109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464262938368).

1268968109760 is an abundant number, since it is smaller than the sum of its proper divisors (3659557766976).

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

1268968109760 is a wasteful number, since it uses less digits than its factorization.

1268968109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1268968109760 in words is "one trillion, two hundred sixty-eight billion, nine hundred sixty-eight million, one hundred nine thousand, seven hundred sixty".