5316813331200 has 1296 divisors, whose sum is σ = 22386307559616. Its totient is φ = 1178468352000.

The previous prime is 5316813331187. The next prime is 5316813331201. The reversal of 5316813331200 is 21333186135.

5316813331200 is a `hidden beast` number, since 5 + 316 + 8 + 1 + 3 + 331 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5316813331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8846610900 + ... + 8846611500.

Almost surely, 2^{5316813331200} is an apocalyptic number.

5316813331200 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 5316813331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193153779808).

5316813331200 is an abundant number, since it is smaller than the sum of its proper divisors (17069494228416).

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

5316813331200 is a wasteful number, since it uses less digits than its factorization.

5316813331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 5316813331200 in words is "five trillion, three hundred sixteen billion, eight hundred thirteen million, three hundred thirty-one thousand, two hundred".