1281773116800 has 768 divisors, whose sum is σ = 5179356000000. Its totient is φ = 306970214400.

The previous prime is 1281773116787. The next prime is 1281773116801. The reversal of 1281773116800 is 86113771821.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1281773116801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78875076 + ... + 78891324.

It is an arithmetic number, because the mean of its divisors is an integer number (6743953125).

Almost surely, 2^{1281773116800} is an apocalyptic number.

1281773116800 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 1281773116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589678000000).

1281773116800 is an abundant number, since it is smaller than the sum of its proper divisors (3897582883200).

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

1281773116800 is a wasteful number, since it uses less digits than its factorization.

1281773116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16376 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 1281773116800 in words is "one trillion, two hundred eighty-one billion, seven hundred seventy-three million, one hundred sixteen thousand, eight hundred".