1268202700800 has 768 divisors, whose sum is σ = 5325678182400. Its totient is φ = 289839513600.

The previous prime is 1268202700781. The next prime is 1268202700837. The reversal of 1268202700800 is 80072028621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154824705 + ... + 154832895.

It is an arithmetic number, because the mean of its divisors is an integer number (6934476800).

Almost surely, 2^{1268202700800} is an apocalyptic number.

1268202700800 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 1268202700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662839091200).

1268202700800 is an abundant number, since it is smaller than the sum of its proper divisors (4057475481600).

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

1268202700800 is an frugal number, since it uses more digits than its factorization.

1268202700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1268202700800 in words is "one trillion, two hundred sixty-eight billion, two hundred two million, seven hundred thousand, eight hundred".