5991991117000 has 192 divisors, whose sum is σ = 16313807568240. Its totient is φ = 2053973376000.

The previous prime is 5991991116997. The next prime is 5991991117001. The reversal of 5991991117000 is 7111991995.

It can be written as a sum of positive squares in 8 ways, for example, as 123668975556 + 5868322141444 = 351666^2 + 2422462^2 .

It is not an unprimeable number, because it can be changed into a prime (5991991117001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321087670 + ... + 321106330.

Almost surely, 2^{5991991117000} is an apocalyptic number.

5991991117000 is a gapful number since it is divisible by the number (50) 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 5991991117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156903784120).

5991991117000 is an abundant number, since it is smaller than the sum of its proper divisors (10321816451240).

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

5991991117000 is a wasteful number, since it uses less digits than its factorization.

5991991117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25249 (or 25228 counting only the distinct ones).

The product of its (nonzero) digits is 229635, while the sum is 52.

The spelling of 5991991117000 in words is "five trillion, nine hundred ninety-one billion, nine hundred ninety-one million, one hundred seventeen thousand".