116859580416 has 416 divisors, whose sum is σ = 363287232000. Its totient is φ = 37072207872.

The previous prime is 116859580403. The next prime is 116859580417. The reversal of 116859580416 is 614085958611.

116859580416 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 59 + 580 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116859580417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266194725 + ... + 266195163.

Almost surely, 2^116859580416 is an apocalyptic number.

116859580416 is a gapful number since it is divisible by the number (16) 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 116859580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181643616000).

116859580416 is an abundant number, since it is smaller than the sum of its proper divisors (246427651584).

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

116859580416 is an equidigital number, since it uses as much as digits as its factorization.

116859580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 116859580416 in words is "one hundred sixteen billion, eight hundred fifty-nine million, five hundred eighty thousand, four hundred sixteen".