1268718796800 has 2304 divisors, whose sum is σ = 5868647715840. Its totient is φ = 254803968000.

The previous prime is 1268718796789. The next prime is 1268718796817. The reversal of 1268718796800 is 86978178621.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20798668770 + ... + 20798668830.

Almost surely, 2^{1268718796800} is an apocalyptic number.

1268718796800 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 1268718796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934323857920).

1268718796800 is an abundant number, since it is smaller than the sum of its proper divisors (4599928919040).

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

1268718796800 is a wasteful number, since it uses less digits than its factorization.

1268718796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 1268718796800 in words is "one trillion, two hundred sixty-eight billion, seven hundred eighteen million, seven hundred ninety-six thousand, eight hundred".