56553589680 has 320 divisors, whose sum is σ = 215816663040. Its totient is φ = 11961105408.

The previous prime is 56553589669. The next prime is 56553589681. The reversal of 56553589680 is 8698535565.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (56553589681) 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 63 ways as a sum of consecutive naturals, for example, 1351959 + ... + 1393161.

It is an arithmetic number, because the mean of its divisors is an integer number (674427072).

Almost surely, 2^56553589680 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 56553589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107908331520).

56553589680 is an abundant number, since it is smaller than the sum of its proper divisors (159263073360).

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

56553589680 is a wasteful number, since it uses less digits than its factorization.

56553589680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41288 (or 41282 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 60.

The spelling of 56553589680 in words is "fifty-six billion, five hundred fifty-three million, five hundred eighty-nine thousand, six hundred eighty".