30225672000 has 168 divisors, whose sum is σ = 108122523912. Its totient is φ = 8060160000.

The previous prime is 30225671969. The next prime is 30225672007. The reversal of 30225672000 is 27652203.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 30209220864 = 4056^2 + 173808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30225672007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137901 + ... + 281900.

Almost surely, 2^30225672000 is an apocalyptic number.

30225672000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30225672000 is an abundant number, since it is smaller than the sum of its proper divisors (77896851912).

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

30225672000 is a wasteful number, since it uses less digits than its factorization.

30225672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419834 (or 419811 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 30225672000 in words is "thirty billion, two hundred twenty-five million, six hundred seventy-two thousand".