198059978999400 has 768 divisors, whose sum is σ = 719120573337600. Its totient is φ = 44159670804480.

The previous prime is 198059978999339. The next prime is 198059978999423. The reversal of 198059978999400 is 4999879950891.

It is a junction number, because it is equal to n+sod(n) for n = 198059978999298 and 198059978999307.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25533060322 + ... + 25533068078.

It is an arithmetic number, because the mean of its divisors is an integer number (936354913200).

Almost surely, 2^{198059978999400} is an apocalyptic number.

198059978999400 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 198059978999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359560286668800).

198059978999400 is an abundant number, since it is smaller than the sum of its proper divisors (521060594338200).

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

198059978999400 is a wasteful number, since it uses less digits than its factorization.

198059978999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 87.

The spelling of 198059978999400 in words is "one hundred ninety-eight trillion, fifty-nine billion, nine hundred seventy-eight million, nine hundred ninety-nine thousand, four hundred".