199835380800 has 1344 divisors, whose sum is σ = 871481721600. Its totient is φ = 43971379200.

The previous prime is 199835380793. The next prime is 199835380813. The reversal of 199835380800 is 8083538991.

199835380800 is a `hidden beast` number, since 19 + 98 + 3 + 538 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234273174 + ... + 234274026.

It is an arithmetic number, because the mean of its divisors is an integer number (648423900).

Almost surely, 2^199835380800 is an apocalyptic number.

199835380800 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 199835380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435740860800).

199835380800 is an abundant number, since it is smaller than the sum of its proper divisors (671646340800).

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

199835380800 is a wasteful number, since it uses less digits than its factorization.

199835380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 199835380800 in words is "one hundred ninety-nine billion, eight hundred thirty-five million, three hundred eighty thousand, eight hundred".