198281094289920 has 2400 divisors, whose sum is σ = 800066557338048. Its totient is φ = 46890523164672.

The previous prime is 198281094289829. The next prime is 198281094289933. The reversal of 198281094289920 is 29982490182891.

198281094289920 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 8 + 109 + 428 + 9 + 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 239 ways as a sum of consecutive naturals, for example, 2959419317727 + ... + 2959419317793.

Almost surely, 2^{198281094289920} is an apocalyptic number.

198281094289920 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 198281094289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400033278669024).

198281094289920 is an abundant number, since it is smaller than the sum of its proper divisors (601785463048128).

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

198281094289920 is an frugal number, since it uses more digits than its factorization.

198281094289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 198281094289920 in words is "one hundred ninety-eight trillion, two hundred eighty-one billion, ninety-four million, two hundred eighty-nine thousand, nine hundred twenty".