30127964160 has 480 divisors, whose sum is σ = 112034829312. Its totient is φ = 6771179520.

The previous prime is 30127964159. The next prime is 30127964263. The reversal of 30127964160 is 6146972103.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142786455 + ... + 142786665.

Almost surely, 2^30127964160 is an apocalyptic number.

30127964160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30127964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56017414656).

30127964160 is an abundant number, since it is smaller than the sum of its proper divisors (81906865152).

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

30127964160 is an equidigital number, since it uses as much as digits as its factorization.

30127964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 30127964160 in words is "thirty billion, one hundred twenty-seven million, nine hundred sixty-four thousand, one hundred sixty".