10917086316000 has 384 divisors, whose sum is σ = 38009126413440. Its totient is φ = 2729775104000.

The previous prime is 10917086315893. The next prime is 10917086316001. The reversal of 10917086316000 is 61368071901.

10917086316000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10917086316001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54776530 + ... + 54975470.

It is an arithmetic number, because the mean of its divisors is an integer number (98982100035).

Almost surely, 2^{10917086316000} is an apocalyptic number.

10917086316000 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 10917086316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004563206720).

10917086316000 is an abundant number, since it is smaller than the sum of its proper divisors (27092040097440).

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

10917086316000 is a wasteful number, since it uses less digits than its factorization.

10917086316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199255 (or 199237 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 10917086316000 in words is "ten trillion, nine hundred seventeen billion, eighty-six million, three hundred sixteen thousand".