5138565269760 has 864 divisors, whose sum is σ = 20459867107680. Its totient is φ = 1179487567872.

The previous prime is 5138565269753. The next prime is 5138565269779. The reversal of 5138565269760 is 679625658315.

It is a happy number.

5138565269760 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 565 + 2 + 6 + 9 + 7 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1284976410624 + 3853588859136 = 1133568^2 + 1963056^2 .

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 95 ways as a sum of consecutive naturals, for example, 277496022 + ... + 277514538.

It is an arithmetic number, because the mean of its divisors is an integer number (23680401745).

Almost surely, 2^{5138565269760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5138565269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229933553840).

5138565269760 is an abundant number, since it is smaller than the sum of its proper divisors (15321301837920).

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

5138565269760 is a wasteful number, since it uses less digits than its factorization.

5138565269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18683 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 5138565269760 in words is "five trillion, one hundred thirty-eight billion, five hundred sixty-five million, two hundred sixty-nine thousand, seven hundred sixty".