116340187680 has 768 divisors, whose sum is σ = 436849459200. Its totient is φ = 28867829760.

The previous prime is 116340187657. The next prime is 116340187681. The reversal of 116340187680 is 86781043611.

116340187680 is a `hidden beast` number, since 1 + 1 + 634 + 0 + 1 + 8 + 7 + 6 + 8 + 0 = 666.

116340187680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (116340187681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 512511727 + ... + 512511953.

It is an arithmetic number, because the mean of its divisors is an integer number (568814400).

Almost surely, 2^116340187680 is an apocalyptic number.

116340187680 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 116340187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218424729600).

116340187680 is an abundant number, since it is smaller than the sum of its proper divisors (320509271520).

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

116340187680 is a wasteful number, since it uses less digits than its factorization.

116340187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 116340187680 in words is "one hundred sixteen billion, three hundred forty million, one hundred eighty-seven thousand, six hundred eighty".