30085468120 has 64 divisors (see below), whose sum is σ = 69924280320. Its totient is φ = 11641158144.

The previous prime is 30085468117. The next prime is 30085468181. The reversal of 30085468120 is 2186458003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 30085468120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 197289 + ... + 314791.

It is an arithmetic number, because the mean of its divisors is an integer number (1092566880).

Almost surely, 2^30085468120 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 30085468120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34962140160).

30085468120 is an abundant number, since it is smaller than the sum of its proper divisors (39838812200).

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

30085468120 is a wasteful number, since it uses less digits than its factorization.

30085468120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117724 (or 117720 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 30085468120 in words is "thirty billion, eighty-five million, four hundred sixty-eight thousand, one hundred twenty".