55658532666880 has 480 divisors, whose sum is σ = 158389329621600. Its totient is φ = 18632779038720.

The previous prime is 55658532666859. The next prime is 55658532666887. The reversal of 55658532666880 is 8866623585655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55658532666887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526169286 + ... + 1526205754.

It is an arithmetic number, because the mean of its divisors is an integer number (329977770045).

Almost surely, 2^{55658532666880} 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 55658532666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194664810800).

55658532666880 is an abundant number, since it is smaller than the sum of its proper divisors (102730796954720).

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

55658532666880 is a wasteful number, since it uses less digits than its factorization.

55658532666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36906 (or 36879 counting only the distinct ones).

The product of its (nonzero) digits is 2488320000, while the sum is 73.

The spelling of 55658532666880 in words is "fifty-five trillion, six hundred fifty-eight billion, five hundred thirty-two million, six hundred sixty-six thousand, eight hundred eighty".