198803437560 has 1024 divisors, whose sum is σ = 874434355200. Its totient is φ = 39020838912.

The previous prime is 198803437559. The next prime is 198803437589. The reversal of 198803437560 is 65734308891.

198803437560 is a `hidden beast` number, since 19 + 8 + 8 + 0 + 34 + 37 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 198803437497 and 198803437506.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 83635092 + ... + 83637468.

It is an arithmetic number, because the mean of its divisors is an integer number (853939800).

Almost surely, 2^198803437560 is an apocalyptic number.

198803437560 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 198803437560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437217177600).

198803437560 is an abundant number, since it is smaller than the sum of its proper divisors (675630917640).

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

198803437560 is a wasteful number, since it uses less digits than its factorization.

198803437560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 198803437560 in words is "one hundred ninety-eight billion, eight hundred three million, four hundred thirty-seven thousand, five hundred sixty".