116594049024000 has 2640 divisors, whose sum is σ = 486114013447920. Its totient is φ = 27722671718400.

The previous prime is 116594049023887. The next prime is 116594049024001. The reversal of 116594049024000 is 420940495611.

116594049024000 is a `hidden beast` number, since 1 + 16 + 594 + 0 + 4 + 9 + 0 + 2 + 40 + 0 + 0 = 666.

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 (116594049024001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 6136528895991 + ... + 6136528896009.

It is an arithmetic number, because the mean of its divisors is an integer number (184134096003).

Almost surely, 2^{116594049024000} is an apocalyptic number.

116594049024000 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 116594049024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243057006723960).

116594049024000 is an abundant number, since it is smaller than the sum of its proper divisors (369519964423920).

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

116594049024000 is an frugal number, since it uses more digits than its factorization.

116594049024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 116594049024000 in words is "one hundred sixteen trillion, five hundred ninety-four billion, forty-nine million, twenty-four thousand".