55680224585301 has 48 divisors (see below), whose sum is σ = 81780835284720. Its totient is φ = 36500622382080.

The previous prime is 55680224585287. The next prime is 55680224585317. The reversal of 55680224585301 is 10358542208655.

55680224585301 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 0 + 2 + 24 + 585 + 30 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8465840100 + 55671758745201 = 92010^2 + 7461351^2 .

It is not a de Polignac number, because 55680224585301 - 2³⁴ = 55663044716117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55680224585371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 481217811 + ... + 481333503.

It is an arithmetic number, because the mean of its divisors is an integer number (1703767401765).

Almost surely, 2^{55680224585301} is an apocalyptic number.

It is an amenable number.

55680224585301 is a deficient number, since it is larger than the sum of its proper divisors (26100610699419).

55680224585301 is a wasteful number, since it uses less digits than its factorization.

55680224585301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119526 (or 119523 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 55680224585301 in words is "fifty-five trillion, six hundred eighty billion, two hundred twenty-four million, five hundred eighty-five thousand, three hundred one".