199806012600 has 192 divisors, whose sum is σ = 631878723840. Its totient is φ = 52218777600.

The previous prime is 199806012559. The next prime is 199806012617. The reversal of 199806012600 is 6210608991.

It is a super-2 number, since 2×199806012600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5977935 + ... + 6011265.

It is an arithmetic number, because the mean of its divisors is an integer number (3291035020).

Almost surely, 2^199806012600 is an apocalyptic number.

199806012600 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 199806012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315939361920).

199806012600 is an abundant number, since it is smaller than the sum of its proper divisors (432072711240).

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

199806012600 is a wasteful number, since it uses less digits than its factorization.

199806012600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33550 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 199806012600 in words is "one hundred ninety-nine billion, eight hundred six million, twelve thousand, six hundred".