199109286400 has 60 divisors (see below), whose sum is σ = 493308844182. Its totient is φ = 79643709440.

The previous prime is 199109286361. The next prime is 199109286401. The reversal of 199109286400 is 4682901991.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 133581478144 + 65527808256 = 365488^2 + 255984^2 .

It is not an unprimeable number, because it can be changed into a prime (199109286401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7764907 + ... + 7790506.

Almost surely, 2^199109286400 is an apocalyptic number.

199109286400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199109286400 is an abundant number, since it is smaller than the sum of its proper divisors (294199557782).

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

199109286400 is an equidigital number, since it uses as much as digits as its factorization.

199109286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15555441 (or 15555420 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The spelling of 199109286400 in words is "one hundred ninety-nine billion, one hundred nine million, two hundred eighty-six thousand, four hundred".