116105287680 has 384 divisors, whose sum is σ = 414065433600. Its totient is φ = 30860476416.

The previous prime is 116105287679. The next prime is 116105287687. The reversal of 116105287680 is 86782501611.

116105287680 is a `hidden beast` number, since 1 + 1 + 61 + 0 + 528 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116105287687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128009787 + ... + 128010693.

It is an arithmetic number, because the mean of its divisors is an integer number (1078295400).

Almost surely, 2^116105287680 is an apocalyptic number.

116105287680 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 116105287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207032716800).

116105287680 is an abundant number, since it is smaller than the sum of its proper divisors (297960145920).

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

116105287680 is an equidigital number, since it uses as much as digits as its factorization.

116105287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 116105287680 in words is "one hundred sixteen billion, one hundred five million, two hundred eighty-seven thousand, six hundred eighty".