1268457881600 has 360 divisors, whose sum is σ = 3871719360768. Its totient is φ = 401434214400.

The previous prime is 1268457881597. The next prime is 1268457881681. The reversal of 1268457881600 is 61887548621.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37256585 + ... + 37290615.

Almost surely, 2^{1268457881600} is an apocalyptic number.

1268457881600 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 1268457881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935859680384).

1268457881600 is an abundant number, since it is smaller than the sum of its proper divisors (2603261479168).

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

1268457881600 is an equidigital number, since it uses as much as digits as its factorization.

1268457881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34089 (or 34058 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 56.

The spelling of 1268457881600 in words is "one trillion, two hundred sixty-eight billion, four hundred fifty-seven million, eight hundred eighty-one thousand, six hundred".