30225484800 has 528 divisors, whose sum is σ = 126873387520. Its totient is φ = 6907576320.

The previous prime is 30225484777. The next prime is 30225484819. The reversal of 30225484800 is 848452203.

30225484800 is a `hidden beast` number, since 30 + 2 + 2 + 548 + 4 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4835277 + ... + 4841523.

Almost surely, 2^30225484800 is an apocalyptic number.

30225484800 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 30225484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63436693760).

30225484800 is an abundant number, since it is smaller than the sum of its proper divisors (96647902720).

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

30225484800 is a wasteful number, since it uses less digits than its factorization.

30225484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 30225484800 in words is "thirty billion, two hundred twenty-five million, four hundred eighty-four thousand, eight hundred".