30905952200 has 108 divisors (see below), whose sum is σ = 74434679235. Its totient is φ = 11933760000.

The previous prime is 30905952193. The next prime is 30905952251. The reversal of 30905952200 is 225950903.

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 can be written as a sum of positive squares in 5 ways, for example, as 29133710596 + 1772241604 = 170686^2 + 42098^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124310.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77072000 + ... + 77072400.

Almost surely, 2^30905952200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30905952200

30905952200 is an abundant number, since it is smaller than the sum of its proper divisors (43528727035).

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

30905952200 is an equidigital number, since it uses as much as digits as its factorization.

30905952200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The spelling of 30905952200 in words is "thirty billion, nine hundred five million, nine hundred fifty-two thousand, two hundred".