30143116543200 has 288 divisors, whose sum is σ = 98357179737600. Its totient is φ = 8018417356800.

The previous prime is 30143116543151. The next prime is 30143116543219. The reversal of 30143116543200 is 234561134103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739652937 + ... + 1739670263.

It is an arithmetic number, because the mean of its divisors is an integer number (341517985200).

Almost surely, 2^{30143116543200} is an apocalyptic number.

30143116543200 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 30143116543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49178589868800).

30143116543200 is an abundant number, since it is smaller than the sum of its proper divisors (68214063194400).

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

30143116543200 is a wasteful number, since it uses less digits than its factorization.

30143116543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19090 (or 19077 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 30143116543200 its reverse (234561134103), we get a palindrome (30377677677303).

The spelling of 30143116543200 in words is "thirty trillion, one hundred forty-three billion, one hundred sixteen million, five hundred forty-three thousand, two hundred".