1268746026800 has 120 divisors (see below), whose sum is σ = 3484514286336. Its totient is φ = 434886232320.

The previous prime is 1268746026761. The next prime is 1268746026851. The reversal of 1268746026800 is 86206478621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 11163059 + ... + 11276141.

Almost surely, 2^{1268746026800} is an apocalyptic number.

1268746026800 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 1268746026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742257143168).

1268746026800 is an abundant number, since it is smaller than the sum of its proper divisors (2215768259536).

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

1268746026800 is a wasteful number, since it uses less digits than its factorization.

1268746026800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117115 (or 117104 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 1268746026800 in words is "one trillion, two hundred sixty-eight billion, seven hundred forty-six million, twenty-six thousand, eight hundred".