199980405000 has 240 divisors, whose sum is σ = 679740710220. Its totient is φ = 53096448000.

The previous prime is 199980404983. The next prime is 199980405011. The reversal of 199980405000 is 504089991.

199980405000 is a `hidden beast` number, since 19 + 9 + 98 + 0 + 40 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 98730437796 + 101249967204 = 314214^2 + 318198^2 .

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

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, 10475464 + ... + 10494536.

Almost surely, 2^199980405000 is an apocalyptic number.

199980405000 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 199980405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339870355110).

199980405000 is an abundant number, since it is smaller than the sum of its proper divisors (479760305220).

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

199980405000 is a wasteful number, since it uses less digits than its factorization.

199980405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19338 (or 19316 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 199980405000 in words is "one hundred ninety-nine billion, nine hundred eighty million, four hundred five thousand".