30128530924800 has 648 divisors, whose sum is σ = 134295663902400. Its totient is φ = 6260473036800.

The previous prime is 30128530924783. The next prime is 30128530924801. The reversal of 30128530924800 is 842903582103.

30128530924800 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 85 + 3 + 0 + 92 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30128530924801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1038676 + ... + 7831724.

Almost surely, 2^{30128530924800} is an apocalyptic number.

30128530924800 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 30128530924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67147831951200).

30128530924800 is an abundant number, since it is smaller than the sum of its proper divisors (104167132977600).

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

30128530924800 is a wasteful number, since it uses less digits than its factorization.

30128530924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793099 (or 6793077 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30128530924800 in words is "thirty trillion, one hundred twenty-eight billion, five hundred thirty million, nine hundred twenty-four thousand, eight hundred".