199984051872 has 240 divisors, whose sum is σ = 656540815392. Its totient is φ = 59191534080.

The previous prime is 199984051849. The next prime is 199984051879. The reversal of 199984051872 is 278150489991.

199984051872 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 40 + 518 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (199984051879) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1144458 + ... + 1307574.

Almost surely, 2^199984051872 is an apocalyptic number.

199984051872 is a gapful number since it is divisible by the number (12) 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 199984051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328270407696).

199984051872 is an abundant number, since it is smaller than the sum of its proper divisors (456556763520).

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

199984051872 is a wasteful number, since it uses less digits than its factorization.

199984051872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163193 (or 163176 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 199984051872 in words is "one hundred ninety-nine billion, nine hundred eighty-four million, fifty-one thousand, eight hundred seventy-two".