1117017792000 has 1920 divisors, whose sum is σ = 4665260261376. Its totient is φ = 256481280000.

The previous prime is 1117017791993. The next prime is 1117017792001. The reversal of 1117017792000 is 2977107111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117017792001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23766335977 + ... + 23766336023.

Almost surely, 2^{1117017792000} is an apocalyptic number.

1117017792000 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 1117017792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332630130688).

1117017792000 is an abundant number, since it is smaller than the sum of its proper divisors (3548242469376).

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

1117017792000 is an equidigital number, since it uses as much as digits as its factorization.

1117017792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 36.

The spelling of 1117017792000 in words is "one trillion, one hundred seventeen billion, seventeen million, seven hundred ninety-two thousand".