199819810080 has 288 divisors, whose sum is σ = 747223626240. Its totient is φ = 48223088640.

The previous prime is 199819810063. The next prime is 199819810081. The reversal of 199819810080 is 80018918991.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 199819809999 and 199819810026.

It is not an unprimeable number, because it can be changed into a prime (199819810081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3504036 + ... + 3560604.

It is an arithmetic number, because the mean of its divisors is an integer number (2594526480).

Almost surely, 2^199819810080 is an apocalyptic number.

199819810080 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 199819810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373611813120).

199819810080 is an abundant number, since it is smaller than the sum of its proper divisors (547403816160).

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

199819810080 is a wasteful number, since it uses less digits than its factorization.

199819810080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56824 (or 56813 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 54.

The spelling of 199819810080 in words is "one hundred ninety-nine billion, eight hundred nineteen million, eight hundred ten thousand, eighty".