6566093404416 has 864 divisors, whose sum is σ = 24496042305280. Its totient is φ = 1707887296512.

The previous prime is 6566093404399. The next prime is 6566093404427. The reversal of 6566093404416 is 6144043906656.

6566093404416 is a `hidden beast` number, since 6 + 56 + 60 + 93 + 4 + 0 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6566093404416² (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 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 95 ways as a sum of consecutive naturals, for example, 413239800 + ... + 413255688.

Almost surely, 2^{6566093404416} 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 6566093404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248021152640).

6566093404416 is an abundant number, since it is smaller than the sum of its proper divisors (17929948900864).

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

6566093404416 is a wasteful number, since it uses less digits than its factorization.

6566093404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16013 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 6566093404416 in words is "six trillion, five hundred sixty-six billion, ninety-three million, four hundred four thousand, four hundred sixteen".