199075132800 has 432 divisors, whose sum is σ = 718678806300. Its totient is φ = 52468439040.

The previous prime is 199075132799. The next prime is 199075132831. The reversal of 199075132800 is 8231570991.

199075132800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 892713489 + ... + 892713711.

Almost surely, 2^199075132800 is an apocalyptic number.

199075132800 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 199075132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359339403150).

199075132800 is an abundant number, since it is smaller than the sum of its proper divisors (519603673500).

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

199075132800 is a wasteful number, since it uses less digits than its factorization.

199075132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 199075132800 in words is "one hundred ninety-nine billion, seventy-five million, one hundred thirty-two thousand, eight hundred".