198008386920 has 256 divisors, whose sum is σ = 690923520000. Its totient is φ = 50378630400.

The previous prime is 198008386909. The next prime is 198008386963. The reversal of 198008386920 is 29683800891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2335431 + ... + 2418729.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920000).

Almost surely, 2^198008386920 is an apocalyptic number.

198008386920 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 198008386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760000).

198008386920 is an abundant number, since it is smaller than the sum of its proper divisors (492915133080).

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

198008386920 is a wasteful number, since it uses less digits than its factorization.

198008386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83421 (or 83411 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 198008386920 in words is "one hundred ninety-eight billion, eight million, three hundred eighty-six thousand, nine hundred twenty".