198784785888000 has 3456 divisors, whose sum is σ = 845706916454400. Its totient is φ = 44395610112000.

The previous prime is 198784785887983. The next prime is 198784785888001. The reversal of 198784785888000 is 888587487891.

198784785888000 is a `hidden beast` number, since 1 + 98 + 7 + 8 + 478 + 58 + 8 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×198784785888000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (198784785888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 240368543587 + ... + 240368544413.

It is an arithmetic number, because the mean of its divisors is an integer number (244706862400).

Almost surely, 2^{198784785888000} is an apocalyptic number.

198784785888000 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 198784785888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422853458227200).

198784785888000 is an abundant number, since it is smaller than the sum of its proper divisors (646922130566400).

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

198784785888000 is a wasteful number, since it uses less digits than its factorization.

198784785888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 2312110080, while the sum is 81.

The spelling of 198784785888000 in words is "one hundred ninety-eight trillion, seven hundred eighty-four billion, seven hundred eighty-five million, eight hundred eighty-eight thousand".