198019522800 has 480 divisors, whose sum is σ = 770090353920. Its totient is φ = 47928960000.

The previous prime is 198019522769. The next prime is 198019522843. The reversal of 198019522800 is 8225910891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 126046015 + ... + 126047585.

It is an arithmetic number, because the mean of its divisors is an integer number (1604354904).

Almost surely, 2^198019522800 is an apocalyptic number.

198019522800 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 198019522800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385045176960).

198019522800 is an abundant number, since it is smaller than the sum of its proper divisors (572070831120).

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

198019522800 is a wasteful number, since it uses less digits than its factorization.

198019522800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 198019522800 in words is "one hundred ninety-eight billion, nineteen million, five hundred twenty-two thousand, eight hundred".