5668659412416 has 1512 divisors, whose sum is σ = 23207094870960. Its totient is φ = 1358831738880.

The previous prime is 5668659412327. The next prime is 5668659412421. The reversal of 5668659412416 is 6142149568665.

5668659412416 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 6 + 594 + 1 + 24 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

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 215 ways as a sum of consecutive naturals, for example, 1198699140 + ... + 1198703868.

Almost surely, 2^{5668659412416} is an apocalyptic number.

5668659412416 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 5668659412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603547435480).

5668659412416 is an abundant number, since it is smaller than the sum of its proper divisors (17538435458544).

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

5668659412416 is a wasteful number, since it uses less digits than its factorization.

5668659412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4765 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

It can be divided in two parts, 566865 and 9412416, that added together give a square (9979281 = 3159²).

The spelling of 5668659412416 in words is "five trillion, six hundred sixty-eight billion, six hundred fifty-nine million, four hundred twelve thousand, four hundred sixteen".