198118752511680 has 3024 divisors, whose sum is σ = 933153984165312. Its totient is φ = 37746420940800.

The previous prime is 198118752511661. The next prime is 198118752511723. The reversal of 198118752511680 is 86115257811891.

198118752511680 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 1 + 8 + 7 + 52 + 511 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 64723537350 + ... + 64723540410.

Almost surely, 2^{198118752511680} is an apocalyptic number.

198118752511680 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 198118752511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466576992082656).

198118752511680 is an abundant number, since it is smaller than the sum of its proper divisors (735035231653632).

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

198118752511680 is a wasteful number, since it uses less digits than its factorization.

198118752511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 63.

The spelling of 198118752511680 in words is "one hundred ninety-eight trillion, one hundred eighteen billion, seven hundred fifty-two million, five hundred eleven thousand, six hundred eighty".