30948784128000 has 960 divisors, whose sum is σ = 116064761379840. Its totient is φ = 8135737344000.

The previous prime is 30948784127977. The next prime is 30948784128001. The reversal of 30948784128000 is 82148784903.

It is a happy number.

30948784128000 is a `hidden beast` number, since 3 + 0 + 9 + 487 + 84 + 1 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30948784128001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3926012059 + ... + 3926019941.

It is an arithmetic number, because the mean of its divisors is an integer number (120900793104).

Almost surely, 2^{30948784128000} is an apocalyptic number.

30948784128000 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 30948784128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032380689920).

30948784128000 is an abundant number, since it is smaller than the sum of its proper divisors (85115977251840).

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

30948784128000 is an frugal number, since it uses more digits than its factorization.

30948784128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 30948784128000 in words is "thirty trillion, nine hundred forty-eight billion, seven hundred eighty-four million, one hundred twenty-eight thousand".