30128253696 has 216 divisors, whose sum is σ = 91355803280. Its totient is φ = 9794027520.

The previous prime is 30128253691. The next prime is 30128253703. The reversal of 30128253696 is 69635282103.

30128253696 is a `hidden beast` number, since 3 + 0 + 1 + 28 + 2 + 536 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30128253691) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11617776 + ... + 11620368.

Almost surely, 2^30128253696 is an apocalyptic number.

30128253696 is a gapful number since it is divisible by the number (36) 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 30128253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45677901640).

30128253696 is an abundant number, since it is smaller than the sum of its proper divisors (61227549584).

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

30128253696 is an equidigital number, since it uses as much as digits as its factorization.

30128253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30128253696 in words is "thirty billion, one hundred twenty-eight million, two hundred fifty-three thousand, six hundred ninety-six".