30085207200 has 108 divisors (see below), whose sum is σ = 106087987278. Its totient is φ = 8022720000.

The previous prime is 30085207171. The next prime is 30085207237. The reversal of 30085207200 is 270258003.

It can be written as a sum of positive squares in 3 ways, for example, as 24512286096 + 5572921104 = 156564^2 + 74652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2082051 + ... + 2096450.

Almost surely, 2^30085207200 is an apocalyptic number.

30085207200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30085207200 is an abundant number, since it is smaller than the sum of its proper divisors (76002780078).

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

30085207200 is a wasteful number, since it uses less digits than its factorization.

30085207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178527 (or 4178511 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 30085207200 in words is "thirty billion, eighty-five million, two hundred seven thousand, two hundred".