30385345760000 has 1800 divisors, whose sum is σ = 101809391191200. Its totient is φ = 8831877120000.

The previous prime is 30385345759973. The next prime is 30385345760057. The reversal of 30385345760000 is 6754358303.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 278764639946 + ... + 278764640054.

It is an arithmetic number, because the mean of its divisors is an integer number (56560772884).

Almost surely, 2^{30385345760000} 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 30385345760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50904695595600).

30385345760000 is an abundant number, since it is smaller than the sum of its proper divisors (71424045431200).

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

30385345760000 is an frugal number, since it uses more digits than its factorization.

30385345760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 30385345760000 in words is "thirty trillion, three hundred eighty-five billion, three hundred forty-five million, seven hundred sixty thousand".