5665566005010 has 192 divisors, whose sum is σ = 16103609533440. Its totient is φ = 1375776645120.

The previous prime is 5665566004981. The next prime is 5665566005083. The reversal of 5665566005010 is 105006655665.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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, 281676714 + ... + 281696826.

It is an arithmetic number, because the mean of its divisors is an integer number (83872966320).

Almost surely, 2^{5665566005010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665566005010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051804766720).

5665566005010 is an abundant number, since it is smaller than the sum of its proper divisors (10438043528430).

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

5665566005010 is a wasteful number, since it uses less digits than its factorization.

5665566005010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26113 (or 26110 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 5665566005010 in words is "five trillion, six hundred sixty-five billion, five hundred sixty-six million, five thousand, ten".