198371819520 has 1620 divisors, whose sum is σ = 894487983480. Its totient is φ = 40428896256.

The previous prime is 198371819473. The next prime is 198371819551. The reversal of 198371819520 is 25918173891.

198371819520 is a `hidden beast` number, since 1 + 9 + 8 + 37 + 1 + 81 + 9 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10440622071 + ... + 10440622089.

Almost surely, 2^198371819520 is an apocalyptic number.

198371819520 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 198371819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447243991740).

198371819520 is an abundant number, since it is smaller than the sum of its proper divisors (696116163960).

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

198371819520 is a wasteful number, since it uses less digits than its factorization.

198371819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 198371819520 in words is "one hundred ninety-eight billion, three hundred seventy-one million, eight hundred nineteen thousand, five hundred twenty".