1117876828800 has 192 divisors, whose sum is σ = 3684731974560. Its totient is φ = 297879859200.

The previous prime is 1117876828777. The next prime is 1117876828801. The reversal of 1117876828800 is 88286787111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1117876828801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13138395 + ... + 13223205.

Almost surely, 2^{1117876828800} is an apocalyptic number.

1117876828800 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 1117876828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842365987280).

1117876828800 is an abundant number, since it is smaller than the sum of its proper divisors (2566855145760).

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

1117876828800 is a wasteful number, since it uses less digits than its factorization.

1117876828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86211 (or 86194 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 57.

The spelling of 1117876828800 in words is "one trillion, one hundred seventeen billion, eight hundred seventy-six million, eight hundred twenty-eight thousand, eight hundred".