30203668800 has 420 divisors, whose sum is σ = 117560316060. Its totient is φ = 7579975680.

The previous prime is 30203668799. The next prime is 30203668819. The reversal of 30203668800 is 886630203.

It can be written as a sum of positive squares in 6 ways, for example, as 1306388736 + 28897280064 = 36144^2 + 169992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2196346 + ... + 2210054.

Almost surely, 2^30203668800 is an apocalyptic number.

30203668800 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 30203668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58780158030).

30203668800 is an abundant number, since it is smaller than the sum of its proper divisors (87356647260).

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

30203668800 is a wasteful number, since it uses less digits than its factorization.

30203668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30203668800 in words is "thirty billion, two hundred three million, six hundred sixty-eight thousand, eight hundred".