199812807792 has 960 divisors, whose sum is σ = 701955072000. Its totient is φ = 52378140672.

The previous prime is 199812807757. The next prime is 199812807847. The reversal of 199812807792 is 297708218991.

199812807792 is a `hidden beast` number, since 199 + 81 + 280 + 7 + 7 + 92 = 666.

199812807792 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 an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2245087684 + ... + 2245087772.

It is an arithmetic number, because the mean of its divisors is an integer number (731203200).

Almost surely, 2^199812807792 is an apocalyptic number.

199812807792 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 199812807792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536000).

199812807792 is an abundant number, since it is smaller than the sum of its proper divisors (502142264208).

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

199812807792 is a wasteful number, since it uses less digits than its factorization.

199812807792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 199812807792 in words is "one hundred ninety-nine billion, eight hundred twelve million, eight hundred seven thousand, seven hundred ninety-two".