56459645280 has 288 divisors, whose sum is σ = 205746428160. Its totient is φ = 14067486720.

The previous prime is 56459645213. The next prime is 56459645287. The reversal of 56459645280 is 8254695465.

56459645280 is a `hidden beast` number, since 5 + 6 + 4 + 59 + 64 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56459645287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272754 + ... + 1316366.

It is an arithmetic number, because the mean of its divisors is an integer number (714397320).

Almost surely, 2^56459645280 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 56459645280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102873214080).

56459645280 is an abundant number, since it is smaller than the sum of its proper divisors (149286782880).

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

56459645280 is a wasteful number, since it uses less digits than its factorization.

56459645280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43694 (or 43683 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 56459645280 in words is "fifty-six billion, four hundred fifty-nine million, six hundred forty-five thousand, two hundred eighty".