30720987200 has 84 divisors (see below), whose sum is σ = 75634242432. Its totient is φ = 12281664000.

The previous prime is 30720987163. The next prime is 30720987229. The reversal of 30720987200 is 278902703.

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 11 ways as a sum of consecutive naturals, for example, 3757517 + ... + 3765683.

It is an arithmetic number, because the mean of its divisors is an integer number (900407648).

Almost surely, 2^30720987200 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 30720987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37817121216).

30720987200 is an abundant number, since it is smaller than the sum of its proper divisors (44913255232).

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

30720987200 is a wasteful number, since it uses less digits than its factorization.

30720987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 30720987200 in words is "thirty billion, seven hundred twenty million, nine hundred eighty-seven thousand, two hundred".