30017893999968 has 216 divisors, whose sum is σ = 101413039264992. Its totient is φ = 8394061358592.

The previous prime is 30017893999949. The next prime is 30017893999999. The reversal of 30017893999968 is 86999939871003.

It is a happy number.

30017893999968 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 7 + 89 + 399 + 99 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21965655 + ... + 23292182.

It is an arithmetic number, because the mean of its divisors is an integer number (469504811412).

Almost surely, 2^{30017893999968} is an apocalyptic number.

It is an amenable number.

30017893999968 is an abundant number, since it is smaller than the sum of its proper divisors (71395145265024).

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

30017893999968 is a wasteful number, since it uses less digits than its factorization.

30017893999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45257914 (or 45257896 counting only the distinct ones).

The product of its (nonzero) digits is 1428513408, while the sum is 81.

The spelling of 30017893999968 in words is "thirty trillion, seventeen billion, eight hundred ninety-three million, nine hundred ninety-nine thousand, nine hundred sixty-eight".