30057988448960 has 112 divisors (see below), whose sum is σ = 71651208593664. Its totient is φ = 12010499386368.

The previous prime is 30057988448909. The next prime is 30057988448963. The reversal of 30057988448960 is 6984488975003.

It is not an unprimeable number, because it can be changed into a prime (30057988448963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246845227 + ... + 1246869333.

It is an arithmetic number, because the mean of its divisors is an integer number (639742933872).

Almost surely, 2^{30057988448960} is an apocalyptic number.

It is an amenable number.

30057988448960 is an abundant number, since it is smaller than the sum of its proper divisors (41593220144704).

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

30057988448960 is a wasteful number, since it uses less digits than its factorization.

30057988448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28078 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 71.

The spelling of 30057988448960 in words is "thirty trillion, fifty-seven billion, nine hundred eighty-eight million, four hundred forty-eight thousand, nine hundred sixty".