116517120000 has 480 divisors, whose sum is σ = 408857248800. Its totient is φ = 29417472000.

The previous prime is 116517119969. The next prime is 116517120011. The reversal of 116517120000 is 21715611.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72959202 + ... + 72960798.

It is an arithmetic number, because the mean of its divisors is an integer number (851785935).

Almost surely, 2^116517120000 is an apocalyptic number.

116517120000 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 116517120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204428624400).

116517120000 is an abundant number, since it is smaller than the sum of its proper divisors (292340128800).

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

116517120000 is an equidigital number, since it uses as much as digits as its factorization.

116517120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 116517120000 its reverse (21715611), we get a palindrome (116538835611).

The spelling of 116517120000 in words is "one hundred sixteen billion, five hundred seventeen million, one hundred twenty thousand".