30111727968 has 288 divisors, whose sum is σ = 101976585984. Its totient is φ = 8561935872.

The previous prime is 30111727951. The next prime is 30111727981. The reversal of 30111727968 is 86972711103.

30111727968 is a `hidden beast` number, since 301 + 1 + 17 + 279 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30111727968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12354846 + ... + 12357282.

It is an arithmetic number, because the mean of its divisors is an integer number (354085368).

Almost surely, 2^30111727968 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 30111727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50988292992).

30111727968 is an abundant number, since it is smaller than the sum of its proper divisors (71864858016).

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

30111727968 is a wasteful number, since it uses less digits than its factorization.

30111727968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 30111727968 in words is "thirty billion, one hundred eleven million, seven hundred twenty-seven thousand, nine hundred sixty-eight".