198912000000 has 840 divisors, whose sum is σ = 778206288832. Its totient is φ = 44236800000.

The previous prime is 198911999987. The next prime is 198912000013. The reversal of 198912000000 is 219891.

It is an interprime number because it is at equal distance from previous prime (198911999987) and next prime (198912000013).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5375999982 + ... + 5376000018.

Almost surely, 2^198912000000 is an apocalyptic number.

198912000000 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 198912000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389103144416).

198912000000 is an abundant number, since it is smaller than the sum of its proper divisors (579294288832).

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

198912000000 is an frugal number, since it uses more digits than its factorization.

198912000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 198912000000 its reverse (219891), we get a palindrome (198912219891).

The spelling of 198912000000 in words is "one hundred ninety-eight billion, nine hundred twelve million", and thus it is an aban number.