198585766070400 has 768 divisors, whose sum is σ = 702958834005120. Its totient is φ = 49098915840000.

The previous prime is 198585766070381. The next prime is 198585766070401. The reversal of 198585766070400 is 4070667585891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (198585766070401) 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 95 ways as a sum of consecutive naturals, for example, 2928916500 + ... + 2928984300.

Almost surely, 2^{198585766070400} is an apocalyptic number.

198585766070400 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 198585766070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351479417002560).

198585766070400 is an abundant number, since it is smaller than the sum of its proper divisors (504373067934720).

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

198585766070400 is a wasteful number, since it uses less digits than its factorization.

198585766070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68113 (or 68096 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 198585766070400 in words is "one hundred ninety-eight trillion, five hundred eighty-five billion, seven hundred sixty-six million, seventy thousand, four hundred".