5686510123728 has 400 divisors, whose sum is σ = 19806799605120. Its totient is φ = 1538645455872.

The previous prime is 5686510123703. The next prime is 5686510123729. The reversal of 5686510123728 is 8273210156865.

5686510123728 is a `hidden beast` number, since 5 + 6 + 86 + 510 + 1 + 23 + 7 + 28 = 666.

It is a super-2 number, since 2×5686510123728² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5686510123729) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733077226 + ... + 733084982.

Almost surely, 2^{5686510123728} 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 5686510123728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9903399802560).

5686510123728 is an abundant number, since it is smaller than the sum of its proper divisors (14120289481392).

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

5686510123728 is a wasteful number, since it uses less digits than its factorization.

5686510123728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 12041 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5686510123728 in words is "five trillion, six hundred eighty-six billion, five hundred ten million, one hundred twenty-three thousand, seven hundred twenty-eight".