5300111116800 has 720 divisors, whose sum is σ = 19635666665472. Its totient is φ = 1364196556800.

The previous prime is 5300111116793. The next prime is 5300111116813. The reversal of 5300111116800 is 86111110035.

It is a happy number.

5300111116800 is a `hidden beast` number, since 530 + 0 + 1 + 11 + 116 + 8 + 0 + 0 = 666.

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

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, 541319905 + ... + 541329695.

Almost surely, 2^{5300111116800} is an apocalyptic number.

5300111116800 is a gapful number since it is divisible by the number (50) 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 5300111116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817833332736).

5300111116800 is an abundant number, since it is smaller than the sum of its proper divisors (14335555548672).

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

5300111116800 is a wasteful number, since it uses less digits than its factorization.

5300111116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 5300111116800 its reverse (86111110035), we get a palindrome (5386222226835).

The spelling of 5300111116800 in words is "five trillion, three hundred billion, one hundred eleven million, one hundred sixteen thousand, eight hundred".