56335649760 has 288 divisors, whose sum is σ = 208270258560. Its totient is φ = 13866458112.

The previous prime is 56335649647. The next prime is 56335649807. The reversal of 56335649760 is 6794653365.

56335649760 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 564 + 9 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56335649697 and 56335649706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3154777 + ... + 3172583.

It is an arithmetic number, because the mean of its divisors is an integer number (723160620).

Almost surely, 2^56335649760 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 56335649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104135129280).

56335649760 is an abundant number, since it is smaller than the sum of its proper divisors (151934608800).

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

56335649760 is a wasteful number, since it uses less digits than its factorization.

56335649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17867 (or 17830 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 56335649760 in words is "fifty-six billion, three hundred thirty-five million, six hundred forty-nine thousand, seven hundred sixty".