198560587680 has 1008 divisors, whose sum is σ = 870994736640. Its totient is φ = 41864988672.

The previous prime is 198560587679. The next prime is 198560587691. The reversal of 198560587680 is 86785065891.

198560587680 is a `hidden beast` number, since 1 + 9 + 8 + 560 + 5 + 8 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 137984401 + ... + 137985839.

It is an arithmetic number, because the mean of its divisors is an integer number (864082080).

Almost surely, 2^198560587680 is an apocalyptic number.

198560587680 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 198560587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435497368320).

198560587680 is an abundant number, since it is smaller than the sum of its proper divisors (672434148960).

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

198560587680 is a wasteful number, since it uses less digits than its factorization.

198560587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 198560587680 in words is "one hundred ninety-eight billion, five hundred sixty million, five hundred eighty-seven thousand, six hundred eighty".