30792960000000 has 1920 divisors, whose sum is σ = 125947833822720. Its totient is φ = 7464960000000.

The previous prime is 30792959999969. The next prime is 30792960000001. The reversal of 30792960000000 is 6929703.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30792960000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30792960000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2799359999995 + ... + 2799360000005.

It is an arithmetic number, because the mean of its divisors is an integer number (65597830116).

Almost surely, 2^{30792960000000} is an apocalyptic number.

30792960000000 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 30792960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62973916911360).

30792960000000 is an abundant number, since it is smaller than the sum of its proper divisors (95154873822720).

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

30792960000000 is an frugal number, since it uses more digits than its factorization.

30792960000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Adding to 30792960000000 its reverse (6929703), we get a palindrome (30792966929703).

The spelling of 30792960000000 in words is "thirty trillion, seven hundred ninety-two billion, nine hundred sixty million", and thus it is an aban number.