30193972604928 has 1248 divisors, whose sum is σ = 107863810209792. Its totient is φ = 8332089753600.

The previous prime is 30193972604921. The next prime is 30193972604947. The reversal of 30193972604928 is 82940627939103.

30193972604928 is a `hidden beast` number, since 3 + 0 + 19 + 3 + 9 + 7 + 2 + 604 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30193972604921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5769913800 + ... + 5769919032.

It is an arithmetic number, because the mean of its divisors is an integer number (86429335104).

Almost surely, 2^{30193972604928} 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 30193972604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53931905104896).

30193972604928 is an abundant number, since it is smaller than the sum of its proper divisors (77669837604864).

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

30193972604928 is a wasteful number, since it uses less digits than its factorization.

30193972604928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 30193972604928 in words is "thirty trillion, one hundred ninety-three billion, nine hundred seventy-two million, six hundred four thousand, nine hundred twenty-eight".