30916800000 has 720 divisors, whose sum is σ = 118436638320. Its totient is φ = 7741440000.

The previous prime is 30916799983. The next prime is 30916800029. The reversal of 30916800000 is 861903.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273599944 + ... + 273600056.

It is an arithmetic number, because the mean of its divisors is an integer number (164495331).

Almost surely, 2^30916800000 is an apocalyptic number.

30916800000 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 30916800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59218319160).

30916800000 is an abundant number, since it is smaller than the sum of its proper divisors (87519838320).

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

30916800000 is an equidigital number, since it uses as much as digits as its factorization.

30916800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 30916800000 in words is "thirty billion, nine hundred sixteen million, eight hundred thousand".