199782240480 has 192 divisors, whose sum is σ = 708090163200. Its totient is φ = 52600803840.

The previous prime is 199782240467. The next prime is 199782240491. The reversal of 199782240480 is 84042287991.

199782240480 is a `hidden beast` number, since 1 + 99 + 78 + 2 + 2 + 4 + 0 + 480 = 666.

It is a super-2 number, since 2×199782240480² (a number of 23 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 48585 + ... + 633975.

It is an arithmetic number, because the mean of its divisors is an integer number (3687969600).

Almost surely, 2^199782240480 is an apocalyptic number.

199782240480 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 199782240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354045081600).

199782240480 is an abundant number, since it is smaller than the sum of its proper divisors (508307922720).

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

199782240480 is a wasteful number, since it uses less digits than its factorization.

199782240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585494 (or 585480 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 1997822 and 40480, that added together give a palindrome (2038302).

The spelling of 199782240480 in words is "one hundred ninety-nine billion, seven hundred eighty-two million, two hundred forty thousand, four hundred eighty".