30139676928000 has 1152 divisors, whose sum is σ = 113668339599360. Its totient is φ = 7666945228800.

The previous prime is 30139676927981. The next prime is 30139676928013. The reversal of 30139676928000 is 82967693103.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32166143532 + ... + 32166144468.

It is an arithmetic number, because the mean of its divisors is an integer number (98670433680).

Almost surely, 2^{30139676928000} is an apocalyptic number.

30139676928000 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 30139676928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56834169799680).

30139676928000 is an abundant number, since it is smaller than the sum of its proper divisors (83528662671360).

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

30139676928000 is a wasteful number, since it uses less digits than its factorization.

30139676928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 30139676928000 in words is "thirty trillion, one hundred thirty-nine billion, six hundred seventy-six million, nine hundred twenty-eight thousand".