30198988800 has 252 divisors, whose sum is σ = 108179488365. Its totient is φ = 8053063680.

The previous prime is 30198988769. The next prime is 30198988829. The reversal of 30198988800 is 888989103.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)² ⋅ (2!)²¹.

It can be written as a sum of positive squares in 2 ways, for example, as 29595009024 + 603979776 = 172032^2 + 24576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=122880.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6039797758 + ... + 6039797762.

Almost surely, 2^30198988800 is an apocalyptic number.

30198988800 is a gapful number since it is divisible by the number (30) 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 30198988800

30198988800 is an abundant number, since it is smaller than the sum of its proper divisors (77980499565).

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

30198988800 is an frugal number, since it uses more digits than its factorization.

30198988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 30198988800 in words is "thirty billion, one hundred ninety-eight million, nine hundred eighty-eight thousand, eight hundred".