198586443247920 has 2880 divisors, whose sum is σ = 927198415503360. Its totient is φ = 37594135756800.

The previous prime is 198586443247879. The next prime is 198586443247957. The reversal of 198586443247920 is 29742344685891.

198586443247920 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 8 + 64 + 432 + 47 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12696523300 + ... + 12696538940.

It is an arithmetic number, because the mean of its divisors is an integer number (321943894272).

It is a 2-persistent number, because it is pandigital, and so is 2⋅198586443247920 = 397172886495840, but 3⋅198586443247920 = 595759329743760 is not.

Almost surely, 2^{198586443247920} is an apocalyptic number.

198586443247920 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 198586443247920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463599207751680).

198586443247920 is an abundant number, since it is smaller than the sum of its proper divisors (728611972255440).

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

198586443247920 is a wasteful number, since it uses less digits than its factorization.

198586443247920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 198586443247920 in words is "one hundred ninety-eight trillion, five hundred eighty-six billion, four hundred forty-three million, two hundred forty-seven thousand, nine hundred twenty".