116858703600 has 720 divisors, whose sum is σ = 445574338560. Its totient is φ = 28268697600.

The previous prime is 116858703589. The next prime is 116858703641. The reversal of 116858703600 is 6307858611.

116858703600 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 587 + 0 + 3 + 60 + 0 = 666.

116858703600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136039971 + ... + 136040829.

It is an arithmetic number, because the mean of its divisors is an integer number (618853248).

Almost surely, 2^116858703600 is an apocalyptic number.

116858703600 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 116858703600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222787169280).

116858703600 is an abundant number, since it is smaller than the sum of its proper divisors (328715634960).

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

116858703600 is a wasteful number, since it uses less digits than its factorization.

116858703600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 116858703600 in words is "one hundred sixteen billion, eight hundred fifty-eight million, seven hundred three thousand, six hundred".