55609259328 has 336 divisors, whose sum is σ = 185263438464. Its totient is φ = 15620567040.

The previous prime is 55609259323. The next prime is 55609259333. The reversal of 55609259328 is 82395290655.

55609259328 is a `hidden beast` number, since 5 + 5 + 60 + 9 + 259 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (55609259323) and next prime (55609259333).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55609259323) 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, 67733158 + ... + 67733978.

Almost surely, 2^55609259328 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 55609259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92631719232).

55609259328 is an abundant number, since it is smaller than the sum of its proper divisors (129654179136).

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

55609259328 is a wasteful number, since it uses less digits than its factorization.

55609259328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 55609259328 in words is "fifty-five billion, six hundred nine million, two hundred fifty-nine thousand, three hundred twenty-eight".