116585781580800 has 660 divisors, whose sum is σ = 493375423504480. Its totient is φ = 26648175329280.

The previous prime is 116585781580777. The next prime is 116585781580823. The reversal of 116585781580800 is 8085187585611.

116585781580800 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 8 + 578 + 1 + 58 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116585781580777) and next prime (116585781580823).

It is a super-3 number, since 3×116585781580800³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 10499211 + ... + 18531189.

Almost surely, 2^{116585781580800} is an apocalyptic number.

116585781580800 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 116585781580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246687711752240).

116585781580800 is an abundant number, since it is smaller than the sum of its proper divisors (376789641923680).

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

116585781580800 is an equidigital number, since it uses as much as digits as its factorization.

116585781580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032028 (or 8031996 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 63.

The spelling of 116585781580800 in words is "one hundred sixteen trillion, five hundred eighty-five billion, seven hundred eighty-one million, five hundred eighty thousand, eight hundred".