198680096160 has 2304 divisors, whose sum is σ = 959083130880. Its totient is φ = 37902090240.

The previous prime is 198680096141. The next prime is 198680096227. The reversal of 198680096160 is 61690086891.

198680096160 is a `hidden beast` number, since 19 + 8 + 6 + 8 + 0 + 0 + 9 + 616 + 0 = 666.

It is a super-2 number, since 2×198680096160² (a number of 23 digits) contains 22 as substring.

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 = 198680096097 and 198680096106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1450219612 + ... + 1450219748.

It is an arithmetic number, because the mean of its divisors is an integer number (416268720).

Almost surely, 2^198680096160 is an apocalyptic number.

198680096160 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 198680096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479541565440).

198680096160 is an abundant number, since it is smaller than the sum of its proper divisors (760403034720).

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

198680096160 is a wasteful number, since it uses less digits than its factorization.

198680096160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 198680096160 in words is "one hundred ninety-eight billion, six hundred eighty million, ninety-six thousand, one hundred sixty".