190196197200 has 1440 divisors, whose sum is σ = 773710479360. Its totient is φ = 44640460800.

The previous prime is 190196197189. The next prime is 190196197201. The reversal of 190196197200 is 2791691091.

190196197200 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 9 + 619 + 7 + 20 + 0 = 666.

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 (190196197201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2407546761 + ... + 2407546839.

It is an arithmetic number, because the mean of its divisors is an integer number (537298944).

Almost surely, 2^190196197200 is an apocalyptic number.

190196197200 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 190196197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386855239680).

190196197200 is an abundant number, since it is smaller than the sum of its proper divisors (583514282160).

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

190196197200 is a wasteful number, since it uses less digits than its factorization.

190196197200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 190196197200 in words is "one hundred ninety billion, one hundred ninety-six million, one hundred ninety-seven thousand, two hundred".