199158030720 has 640 divisors, whose sum is σ = 779074433280. Its totient is φ = 48082636800.

The previous prime is 199158030713. The next prime is 199158030727. The reversal of 199158030720 is 27030851991.

199158030720 is a `hidden beast` number, since 19 + 9 + 1 + 580 + 30 + 7 + 20 = 666.

199158030720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199158030713) and next prime (199158030727).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199158030727) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 177344079 + ... + 177345201.

It is an arithmetic number, because the mean of its divisors is an integer number (1217303802).

Almost surely, 2^199158030720 is an apocalyptic number.

199158030720 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 199158030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389537216640).

199158030720 is an abundant number, since it is smaller than the sum of its proper divisors (579916402560).

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

199158030720 is a wasteful number, since it uses less digits than its factorization.

199158030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1455 counting only the distinct ones).

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

The spelling of 199158030720 in words is "one hundred ninety-nine billion, one hundred fifty-eight million, thirty thousand, seven hundred twenty".