30127954480 has 240 divisors, whose sum is σ = 78537919680. Its totient is φ = 10735276032.

The previous prime is 30127954459. The next prime is 30127954553. The reversal of 30127954480 is 8445972103.

It is a super-2 number, since 2×30127954480² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 114554829 + ... + 114555091.

It is an arithmetic number, because the mean of its divisors is an integer number (327241332).

Almost surely, 2^30127954480 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 30127954480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39268959840).

30127954480 is an abundant number, since it is smaller than the sum of its proper divisors (48409965200).

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

30127954480 is a wasteful number, since it uses less digits than its factorization.

30127954480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 30127954480 in words is "thirty billion, one hundred twenty-seven million, nine hundred fifty-four thousand, four hundred eighty".