198860882220 has 1152 divisors, whose sum is σ = 861251069952. Its totient is φ = 37175500800.

The previous prime is 198860882117. The next prime is 198860882251. The reversal of 198860882220 is 22288068891.

It is a happy number.

198860882220 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 608 + 8 + 2 + 2 + 20 = 666.

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

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, 199458762 + ... + 199459758.

It is an arithmetic number, because the mean of its divisors is an integer number (747613776).

Almost surely, 2^198860882220 is an apocalyptic number.

198860882220 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 198860882220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430625534976).

198860882220 is an abundant number, since it is smaller than the sum of its proper divisors (662390187732).

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

198860882220 is a wasteful number, since it uses less digits than its factorization.

198860882220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 198860882220 in words is "one hundred ninety-eight billion, eight hundred sixty million, eight hundred eighty-two thousand, two hundred twenty".