5586148578816 has 640 divisors, whose sum is σ = 18114740582400. Its totient is φ = 1689350307840.

The previous prime is 5586148578811. The next prime is 5586148578869. The reversal of 5586148578816 is 6188758416855.

5586148578816 is a `hidden beast` number, since 5 + 5 + 8 + 6 + 1 + 48 + 578 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5586148578811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3648691971 + ... + 3648693501.

It is an arithmetic number, because the mean of its divisors is an integer number (28304282160).

Almost surely, 2^{5586148578816} 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 5586148578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057370291200).

5586148578816 is an abundant number, since it is smaller than the sum of its proper divisors (12528592003584).

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

5586148578816 is a wasteful number, since it uses less digits than its factorization.

5586148578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1885 counting only the distinct ones).

The product of its digits is 516096000, while the sum is 72.

The spelling of 5586148578816 in words is "five trillion, five hundred eighty-six billion, one hundred forty-eight million, five hundred seventy-eight thousand, eight hundred sixteen".