30011838960 has 160 divisors (see below), whose sum is σ = 94698938880. Its totient is φ = 7860556800.

The previous prime is 30011838937. The next prime is 30011838979. The reversal of 30011838960 is 6983811003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15971301 + ... + 15973179.

It is an arithmetic number, because the mean of its divisors is an integer number (591868368).

Almost surely, 2^30011838960 is an apocalyptic number.

30011838960 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 30011838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47349469440).

30011838960 is an abundant number, since it is smaller than the sum of its proper divisors (64687099920).

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

30011838960 is a wasteful number, since it uses less digits than its factorization.

30011838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 30011838960 in words is "thirty billion, eleven million, eight hundred thirty-eight thousand, nine hundred sixty".