56684288582880 has 384 divisors, whose sum is σ = 216120775449600. Its totient is φ = 12191241830400.

The previous prime is 56684288582849. The next prime is 56684288582947. The reversal of 56684288582880 is 8828588248665.

56684288582880 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56684288582796 and 56684288582805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234013830 + ... + 234255930.

It is an arithmetic number, because the mean of its divisors is an integer number (562814519400).

Almost surely, 2^{56684288582880} 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 56684288582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108060387724800).

56684288582880 is an abundant number, since it is smaller than the sum of its proper divisors (159436486866720).

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

56684288582880 is a wasteful number, since it uses less digits than its factorization.

56684288582880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246242 (or 246234 counting only the distinct ones).

The product of its (nonzero) digits is 3774873600, while the sum is 78.

The spelling of 56684288582880 in words is "fifty-six trillion, six hundred eighty-four billion, two hundred eighty-eight million, five hundred eighty-two thousand, eight hundred eighty".