56443263260688 has 180 divisors, whose sum is σ = 167560437335148. Its totient is φ = 17733707066880.

The previous prime is 56443263260641. The next prime is 56443263260689. The reversal of 56443263260688 is 88606236234465.

56443263260688 is a `hidden beast` number, since 5 + 6 + 4 + 432 + 63 + 2 + 60 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40201331564304 + 16241931696384 = 6340452^2 + 4030128^2 .

It is not an unprimeable number, because it can be changed into a prime (56443263260689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7485058 + ... + 12996638.

Almost surely, 2^{56443263260688} 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 56443263260688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83780218667574).

56443263260688 is an abundant number, since it is smaller than the sum of its proper divisors (111117174074460).

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

56443263260688 is a wasteful number, since it uses less digits than its factorization.

56443263260688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511830 (or 5511802 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 56443263260688 in words is "fifty-six trillion, four hundred forty-three billion, two hundred sixty-three million, two hundred sixty thousand, six hundred eighty-eight".