5566725077760 has 4320 divisors, whose sum is σ = 27186233969664. Its totient is φ = 1072963584000.

The previous prime is 5566725077759. The next prime is 5566725077827. The reversal of 5566725077760 is 677705276655.

It is a happy number.

5566725077760 is a `hidden beast` number, since 5 + 5 + 6 + 67 + 2 + 507 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 78404578525 + ... + 78404578595.

Almost surely, 2^{5566725077760} 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 5566725077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593116984832).

5566725077760 is an abundant number, since it is smaller than the sum of its proper divisors (21619508891904).

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

5566725077760 is a wasteful number, since it uses less digits than its factorization.

5566725077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 129654000, while the sum is 63.

The spelling of 5566725077760 in words is "five trillion, five hundred sixty-six billion, seven hundred twenty-five million, seventy-seven thousand, seven hundred sixty".