30765160000 has 105 divisors (see below), whose sum is σ = 76374684309. Its totient is φ = 12292032000.

The previous prime is 30765159979. The next prime is 30765160003. The reversal of 30765160000 is 6156703.

The square root of 30765160000 is 175400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 12520714816 + 18244445184 = 111896^2 + 135072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30765160003) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 35079562 + ... + 35080438.

Almost surely, 2^30765160000 is an apocalyptic number.

30765160000 is the 175400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30765160000

30765160000 is an abundant number, since it is smaller than the sum of its proper divisors (45609524309).

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

30765160000 is an frugal number, since it uses more digits than its factorization.

30765160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 30765160000 in words is "thirty billion, seven hundred sixty-five million, one hundred sixty thousand".