2605545566550 has 288 divisors, whose sum is σ = 7600630195200. Its totient is φ = 656176023360.

The previous prime is 2605545566537. The next prime is 2605545566581. The reversal of 2605545566550 is 556655455062.

2605545566550 is a `hidden beast` number, since 26 + 0 + 5 + 5 + 4 + 5 + 5 + 66 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56394759 + ... + 56440941.

Almost surely, 2^{2605545566550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605545566550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800315097600).

2605545566550 is an abundant number, since it is smaller than the sum of its proper divisors (4995084628650).

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

2605545566550 is a wasteful number, since it uses less digits than its factorization.

2605545566550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46329 (or 46295 counting only the distinct ones).

The product of its (nonzero) digits is 27000000, while the sum is 54.

The spelling of 2605545566550 in words is "two trillion, six hundred five billion, five hundred forty-five million, five hundred sixty-six thousand, five hundred fifty".