198611761920 has 864 divisors, whose sum is σ = 759602333952. Its totient is φ = 43929600000.

The previous prime is 198611761919. The next prime is 198611761939. The reversal of 198611761920 is 29167116891.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 791281795 + ... + 791282045.

It is an arithmetic number, because the mean of its divisors is an integer number (879169368).

Almost surely, 2^198611761920 is an apocalyptic number.

198611761920 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 198611761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379801166976).

198611761920 is an abundant number, since it is smaller than the sum of its proper divisors (560990572032).

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

198611761920 is a wasteful number, since it uses less digits than its factorization.

198611761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 51.

The spelling of 198611761920 in words is "one hundred ninety-eight billion, six hundred eleven million, seven hundred sixty-one thousand, nine hundred twenty".