30005375439312 has 640 divisors, whose sum is σ = 109848222597120. Its totient is φ = 7628353044480.

The previous prime is 30005375439257. The next prime is 30005375439323. The reversal of 30005375439312 is 21393457350003.

30005375439312 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 5 + 3 + 7 + 543 + 93 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 313150803 + ... + 313246605.

It is an arithmetic number, because the mean of its divisors is an integer number (171637847808).

Almost surely, 2^{30005375439312} 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 30005375439312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54924111298560).

30005375439312 is an abundant number, since it is smaller than the sum of its proper divisors (79842847157808).

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

30005375439312 is a wasteful number, since it uses less digits than its factorization.

30005375439312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96128 (or 96116 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 30005375439312 in words is "thirty trillion, five billion, three hundred seventy-five million, four hundred thirty-nine thousand, three hundred twelve".