198510716160 has 216 divisors, whose sum is σ = 688315773600. Its totient is φ = 52821405696.

The previous prime is 198510716143. The next prime is 198510716171. The reversal of 198510716160 is 61617015891.

198510716160 is a `hidden beast` number, since 1 + 9 + 8 + 510 + 71 + 6 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5361391 + ... + 5398289.

It is an arithmetic number, because the mean of its divisors is an integer number (3186647100).

Almost surely, 2^198510716160 is an apocalyptic number.

198510716160 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 198510716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344157886800).

198510716160 is an abundant number, since it is smaller than the sum of its proper divisors (489805057440).

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

198510716160 is a wasteful number, since it uses less digits than its factorization.

198510716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37393 (or 37376 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 198510716160 in words is "one hundred ninety-eight billion, five hundred ten million, seven hundred sixteen thousand, one hundred sixty".