198055584000 has 576 divisors, whose sum is σ = 748896744960. Its totient is φ = 51517440000.

The previous prime is 198055583987. The next prime is 198055584043. The reversal of 198055584000 is 485550891.

It is a happy number.

198055584000 is a `hidden beast` number, since 1 + 98 + 0 + 5 + 558 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35421205 + ... + 35426795.

It is an arithmetic number, because the mean of its divisors is an integer number (1300167960).

Almost surely, 2^198055584000 is an apocalyptic number.

198055584000 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 198055584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374448372480).

198055584000 is an abundant number, since it is smaller than the sum of its proper divisors (550841160960).

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

198055584000 is an equidigital number, since it uses as much as digits as its factorization.

198055584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 198055584000 in words is "one hundred ninety-eight billion, fifty-five million, five hundred eighty-four thousand".