5310287616000 has 384 divisors, whose sum is σ = 17781263398080. Its totient is φ = 1407025152000.

The previous prime is 5310287615977. The next prime is 5310287616019. The reversal of 5310287616000 is 6167820135.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5310287616000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120553980 + ... + 120598020.

Almost surely, 2^{5310287616000} is an apocalyptic number.

5310287616000 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 5310287616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890631699040).

5310287616000 is an abundant number, since it is smaller than the sum of its proper divisors (12470975782080).

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

5310287616000 is a wasteful number, since it uses less digits than its factorization.

5310287616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44238 (or 44208 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 5310287616000 in words is "five trillion, three hundred ten billion, two hundred eighty-seven million, six hundred sixteen thousand".