116219327680 has 224 divisors, whose sum is σ = 313522522560. Its totient is φ = 40768634880.

The previous prime is 116219327657. The next prime is 116219327689. The reversal of 116219327680 is 86723912611.

116219327680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 116219327680.

It is not an unprimeable number, because it can be changed into a prime (116219327689) 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 31 ways as a sum of consecutive naturals, for example, 6295744 + ... + 6314176.

Almost surely, 2^116219327680 is an apocalyptic number.

116219327680 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 116219327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156761261280).

116219327680 is an abundant number, since it is smaller than the sum of its proper divisors (197303194880).

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

116219327680 is a wasteful number, since it uses less digits than its factorization.

116219327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18547 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 116219327680 in words is "one hundred sixteen billion, two hundred nineteen million, three hundred twenty-seven thousand, six hundred eighty".