199882017400 has 96 divisors (see below), whose sum is σ = 501129644400. Its totient is φ = 73705881600.

The previous prime is 199882017389. The next prime is 199882017409. The reversal of 199882017400 is 4710288991.

199882017400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199882017409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1949415 + ... + 2049385.

Almost surely, 2^199882017400 is an apocalyptic number.

199882017400 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 199882017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250564822200).

199882017400 is an abundant number, since it is smaller than the sum of its proper divisors (301247627000).

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

199882017400 is a wasteful number, since it uses less digits than its factorization.

199882017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100769 (or 100760 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The spelling of 199882017400 in words is "one hundred ninety-nine billion, eight hundred eighty-two million, seventeen thousand, four hundred".