1268554400000 has 216 divisors, whose sum is σ = 3173546020680. Its totient is φ = 506050560000.

The previous prime is 1268554399951. The next prime is 1268554400011. The reversal of 1268554400000 is 44558621.

It can be written as a sum of positive squares in 12 ways, for example, as 1238964895744 + 29589504256 = 1113088^2 + 172016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327198062 + ... + 327201938.

Almost surely, 2^{1268554400000} is an apocalyptic number.

1268554400000 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 1268554400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586773010340).

1268554400000 is an abundant number, since it is smaller than the sum of its proper divisors (1904991620680).

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

1268554400000 is an frugal number, since it uses more digits than its factorization.

1268554400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 1268554400000 its reverse (44558621), we get a palindrome (1268598958621).

The spelling of 1268554400000 in words is "one trillion, two hundred sixty-eight billion, five hundred fifty-four million, four hundred thousand".