5686249427712 has 1728 divisors, whose sum is σ = 20927819404800. Its totient is φ = 1516455198720.

The previous prime is 5686249427653. The next prime is 5686249427741. The reversal of 5686249427712 is 2177249426865.

5686249427712 is a `hidden beast` number, since 5 + 6 + 8 + 62 + 494 + 2 + 77 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5686249427712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53142517963 + ... + 53142518069.

It is an arithmetic number, because the mean of its divisors is an integer number (12111006600).

Almost surely, 2^{5686249427712} 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 5686249427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10463909702400).

5686249427712 is an abundant number, since it is smaller than the sum of its proper divisors (15241569977088).

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

5686249427712 is a wasteful number, since it uses less digits than its factorization.

5686249427712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 5686249427712 in words is "five trillion, six hundred eighty-six billion, two hundred forty-nine million, four hundred twenty-seven thousand, seven hundred twelve".