198896833658880 has 2592 divisors, whose sum is σ = 851700845399040. Its totient is φ = 42046052106240.

The previous prime is 198896833658869. The next prime is 198896833658899. The reversal of 198896833658880 is 88856338698891.

198896833658880 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 96 + 8 + 3 + 365 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 942639021975 + ... + 942639022185.

It is an arithmetic number, because the mean of its divisors is an integer number (328588289120).

Almost surely, 2^{198896833658880} is an apocalyptic number.

198896833658880 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 198896833658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425850422699520).

198896833658880 is an abundant number, since it is smaller than the sum of its proper divisors (652804011740160).

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

198896833658880 is an equidigital number, since it uses as much as digits as its factorization.

198896833658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 34398535680, while the sum is 90.

The spelling of 198896833658880 in words is "one hundred ninety-eight trillion, eight hundred ninety-six billion, eight hundred thirty-three million, six hundred fifty-eight thousand, eight hundred eighty".