5566526000000 has 448 divisors, whose sum is σ = 15921996195840. Its totient is φ = 1898899200000.

The previous prime is 5566525999927. The next prime is 5566526000003. The reversal of 5566526000000 is 6256655.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5566526000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3121999109 + ... + 3122000891.

It is an arithmetic number, because the mean of its divisors is an integer number (35540170080).

Almost surely, 2^{5566526000000} is an apocalyptic number.

5566526000000 is a gapful number since it is divisible by the number (50) 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 5566526000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960998097920).

5566526000000 is an abundant number, since it is smaller than the sum of its proper divisors (10355470195840).

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

5566526000000 is an frugal number, since it uses more digits than its factorization.

5566526000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 5566526000000 in words is "five trillion, five hundred sixty-six billion, five hundred twenty-six million", and thus it is an aban number.