199805961300 has 144 divisors (see below), whose sum is σ = 630923284992. Its totient is φ = 48417609600.

The previous prime is 199805961281. The next prime is 199805961317. The reversal of 199805961300 is 3169508991.

It is a happy number.

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, 8842617 + ... + 8865183.

Almost surely, 2^199805961300 is an apocalyptic number.

199805961300 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 199805961300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315461642496).

199805961300 is an abundant number, since it is smaller than the sum of its proper divisors (431117323692).

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

199805961300 is a wasteful number, since it uses less digits than its factorization.

199805961300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25278 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 199805961300 in words is "one hundred ninety-nine billion, eight hundred five million, nine hundred sixty-one thousand, three hundred".