56558613216 has 384 divisors, whose sum is σ = 185550704640. Its totient is φ = 14766022656.

The previous prime is 56558613193. The next prime is 56558613313. The reversal of 56558613216 is 61231685565.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 122156601 + ... + 122157063.

It is an arithmetic number, because the mean of its divisors is an integer number (483204960).

Almost surely, 2^56558613216 is an apocalyptic number.

56558613216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56558613216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92775352320).

56558613216 is an abundant number, since it is smaller than the sum of its proper divisors (128992091424).

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

56558613216 is a wasteful number, since it uses less digits than its factorization.

56558613216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 529 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 56558613216 in words is "fifty-six billion, five hundred fifty-eight million, six hundred thirteen thousand, two hundred sixteen".