5382700247736 has 432 divisors, whose sum is σ = 17615620910160. Its totient is φ = 1479638845440.

The previous prime is 5382700247713. The next prime is 5382700247773. The reversal of 5382700247736 is 6377420072835.

5382700247736 is a `hidden beast` number, since 538 + 2 + 7 + 0 + 0 + 2 + 4 + 77 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 770825701 + ... + 770832683.

It is an arithmetic number, because the mean of its divisors is an integer number (40776900255).

Almost surely, 2^{5382700247736} is an apocalyptic number.

5382700247736 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 5382700247736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807810455080).

5382700247736 is an abundant number, since it is smaller than the sum of its proper divisors (12232920662424).

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

5382700247736 is a wasteful number, since it uses less digits than its factorization.

5382700247736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 5382700247736 in words is "five trillion, three hundred eighty-two billion, seven hundred million, two hundred forty-seven thousand, seven hundred thirty-six".