56320589386880 has 256 divisors, whose sum is σ = 166545263808000. Its totient is φ = 17734963986432.

The previous prime is 56320589386877. The next prime is 56320589386903. The reversal of 56320589386880 is 8868398502365.

It is a super-2 number, since 2×56320589386880² (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9160004 + ... + 14019516.

It is an arithmetic number, because the mean of its divisors is an integer number (650567436750).

Almost surely, 2^{56320589386880} 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 56320589386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83272631904000).

56320589386880 is an abundant number, since it is smaller than the sum of its proper divisors (110224674421120).

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

56320589386880 is a wasteful number, since it uses less digits than its factorization.

56320589386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859751 (or 4859739 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 71.

The spelling of 56320589386880 in words is "fifty-six trillion, three hundred twenty billion, five hundred eighty-nine million, three hundred eighty-six thousand, eight hundred eighty".