30128113610496 has 864 divisors, whose sum is σ = 103439422732800. Its totient is φ = 8576701562880.

The previous prime is 30128113610489. The next prime is 30128113610501. The reversal of 30128113610496 is 69401631182103.

30128113610496 is a `hidden beast` number, since 3 + 0 + 1 + 28 + 1 + 1 + 3 + 610 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 16897426821 + ... + 16897428603.

Almost surely, 2^{30128113610496} is an apocalyptic number.

30128113610496 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 30128113610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51719711366400).

30128113610496 is an abundant number, since it is smaller than the sum of its proper divisors (73311309122304).

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

30128113610496 is a wasteful number, since it uses less digits than its factorization.

30128113610496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 30128113610496 its reverse (69401631182103), we get a palindrome (99529744792599).

The spelling of 30128113610496 in words is "thirty trillion, one hundred twenty-eight billion, one hundred thirteen million, six hundred ten thousand, four hundred ninety-six".