5787892117000 has 256 divisors, whose sum is σ = 15558588864000. Its totient is φ = 1974170419200.

The previous prime is 5787892116991. The next prime is 5787892117001. The reversal of 5787892117000 is 7112987875.

It is not an unprimeable number, because it can be changed into a prime (5787892117001) 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 63 ways as a sum of consecutive naturals, for example, 1887149467 + ... + 1887152533.

It is an arithmetic number, because the mean of its divisors is an integer number (60775737750).

Almost surely, 2^{5787892117000} is an apocalyptic number.

5787892117000 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 5787892117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779294432000).

5787892117000 is an abundant number, since it is smaller than the sum of its proper divisors (9770696747000).

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

5787892117000 is a wasteful number, since it uses less digits than its factorization.

5787892117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 55.

The spelling of 5787892117000 in words is "five trillion, seven hundred eighty-seven billion, eight hundred ninety-two million, one hundred seventeen thousand".