5282710104672 has 1152 divisors, whose sum is σ = 21548095994880. Its totient is φ = 1181405675520.

The previous prime is 5282710104671. The next prime is 5282710104673. The reversal of 5282710104672 is 2764010172825.

5282710104672 is a `hidden beast` number, since 5 + 2 + 82 + 7 + 101 + 0 + 467 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5282710104671) and next prime (5282710104673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5282710104671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 553796479 + ... + 553806017.

It is an arithmetic number, because the mean of its divisors is an integer number (18704944440).

Almost surely, 2^{5282710104672} is an apocalyptic number.

5282710104672 is a gapful number since it is divisible by the number (52) 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 5282710104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10774047997440).

5282710104672 is an abundant number, since it is smaller than the sum of its proper divisors (16265385890208).

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

5282710104672 is a wasteful number, since it uses less digits than its factorization.

5282710104672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 5282710104672 in words is "five trillion, two hundred eighty-two billion, seven hundred ten million, one hundred four thousand, six hundred seventy-two".