199816835400 has 864 divisors, whose sum is σ = 845438466600. Its totient is φ = 41919897600.

The previous prime is 199816835371. The next prime is 199816835417. The reversal of 199816835400 is 4538618991.

199816835400 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 16 + 83 + 540 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 527804676 + 199289030724 = 22974^2 + 446418^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 262571020 + ... + 262571780.

Almost surely, 2^199816835400 is an apocalyptic number.

199816835400 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 199816835400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422719233300).

199816835400 is an abundant number, since it is smaller than the sum of its proper divisors (645621631200).

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

199816835400 is a wasteful number, since it uses less digits than its factorization.

199816835400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1020 counting only the distinct ones).

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

The spelling of 199816835400 in words is "one hundred ninety-nine billion, eight hundred sixteen million, eight hundred thirty-five thousand, four hundred".