5471756306016 has 1152 divisors, whose sum is σ = 20604654379008. Its totient is φ = 1235002982400.

The previous prime is 5471756306011. The next prime is 5471756306033. The reversal of 5471756306016 is 6106036571745.

It is a self number, because there is not a number n which added to its sum of digits gives 5471756306016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5471756306011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1212440976 + ... + 1212445488.

It is an arithmetic number, because the mean of its divisors is an integer number (17885984704).

Almost surely, 2^{5471756306016} is an apocalyptic number.

5471756306016 is a gapful number since it is divisible by the number (56) 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 5471756306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302327189504).

5471756306016 is an abundant number, since it is smaller than the sum of its proper divisors (15132898072992).

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

5471756306016 is a wasteful number, since it uses less digits than its factorization.

5471756306016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 5471756306016 in words is "five trillion, four hundred seventy-one billion, seven hundred fifty-six million, three hundred six thousand, sixteen".