199980000003084 has 192 divisors, whose sum is σ = 552855494983680. Its totient is φ = 55078567914240.

The previous prime is 199980000003073. The next prime is 199980000003097. The reversal of 199980000003084 is 480300000089991.

It is a happy number.

It is a super-2 number, since 2×199980000003084² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478634949 + ... + 479052579.

It is an arithmetic number, because the mean of its divisors is an integer number (2879455703040).

Almost surely, 2^{199980000003084} is an apocalyptic number.

199980000003084 is a gapful number since it is divisible by the number (14) 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 199980000003084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276427747491840).

199980000003084 is an abundant number, since it is smaller than the sum of its proper divisors (352875494980596).

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

199980000003084 is a wasteful number, since it uses less digits than its factorization.

199980000003084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419580 (or 419578 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 199980000003084 in words is "one hundred ninety-nine trillion, nine hundred eighty billion, three thousand, eighty-four".