116205824070 has 512 divisors, whose sum is σ = 395145216000. Its totient is φ = 24182323200.

The previous prime is 116205824069. The next prime is 116205824081. The reversal of 116205824070 is 70428502611.

116205824070 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 0 + 582 + 4 + 0 + 70 = 666.

116205824070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48804280 + ... + 48806660.

It is an arithmetic number, because the mean of its divisors is an integer number (771768000).

Almost surely, 2^116205824070 is an apocalyptic number.

116205824070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116205824070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197572608000).

116205824070 is an abundant number, since it is smaller than the sum of its proper divisors (278939391930).

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

116205824070 is a wasteful number, since it uses less digits than its factorization.

116205824070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 116205824070 in words is "one hundred sixteen billion, two hundred five million, eight hundred twenty-four thousand, seventy".