198986388480 has 880 divisors, whose sum is σ = 793517814144. Its totient is φ = 47271444480.

The previous prime is 198986388457. The next prime is 198986388481. The reversal of 198986388480 is 84883689891.

198986388480 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 8 + 63 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a junction number, because it is equal to n+sod(n) for n = 198986388399 and 198986388408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198986388481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241781349 + ... + 241782171.

Almost surely, 2^198986388480 is an apocalyptic number.

198986388480 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 198986388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396758907072).

198986388480 is an abundant number, since it is smaller than the sum of its proper divisors (594531425664).

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

198986388480 is a wasteful number, since it uses less digits than its factorization.

198986388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 198986388480 in words is "one hundred ninety-eight billion, nine hundred eighty-six million, three hundred eighty-eight thousand, four hundred eighty".