55125331561566 has 288 divisors, whose sum is σ = 142273802661120. Its totient is φ = 15109897904640.

The previous prime is 55125331561561. The next prime is 55125331561571. The reversal of 55125331561566 is 66516513352155.

55125331561566 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 5 + 3 + 3 + 15 + 61 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (55125331561561) and next prime (55125331561571).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55125331561561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7304267005 + ... + 7304274551.

It is an arithmetic number, because the mean of its divisors is an integer number (494006259240).

Almost surely, 2^{55125331561566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55125331561566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71136901330560).

55125331561566 is an abundant number, since it is smaller than the sum of its proper divisors (87148471099554).

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

55125331561566 is a wasteful number, since it uses less digits than its factorization.

55125331561566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 8106 counting only the distinct ones).

The product of its digits is 12150000, while the sum is 54.

The spelling of 55125331561566 in words is "fifty-five trillion, one hundred twenty-five billion, three hundred thirty-one million, five hundred sixty-one thousand, five hundred sixty-six".