198962043120 has 960 divisors, whose sum is σ = 759931361280. Its totient is φ = 48211697664.

The previous prime is 198962042969. The next prime is 198962043157. The reversal of 198962043120 is 21340269891.

198962043120 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 620 + 4 + 3 + 12 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1267274082 + ... + 1267274238.

It is an arithmetic number, because the mean of its divisors is an integer number (791595168).

Almost surely, 2^198962043120 is an apocalyptic number.

198962043120 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 198962043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379965680640).

198962043120 is an abundant number, since it is smaller than the sum of its proper divisors (560969318160).

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

198962043120 is a wasteful number, since it uses less digits than its factorization.

198962043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 198962043120 in words is "one hundred ninety-eight billion, nine hundred sixty-two million, forty-three thousand, one hundred twenty".