30116314800 has 720 divisors, whose sum is σ = 129287558400. Its totient is φ = 6382540800.

The previous prime is 30116314769. The next prime is 30116314801. The reversal of 30116314800 is 841361103.

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

It is not an unprimeable number, because it can be changed into a prime (30116314801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9779661 + ... + 9782739.

Almost surely, 2^30116314800 is an apocalyptic number.

30116314800 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 30116314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64643779200).

30116314800 is an abundant number, since it is smaller than the sum of its proper divisors (99171243600).

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

30116314800 is a wasteful number, since it uses less digits than its factorization.

30116314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 30116314800 its reverse (841361103), we get a palindrome (30957675903).

The spelling of 30116314800 in words is "thirty billion, one hundred sixteen million, three hundred fourteen thousand, eight hundred".