56069832960 has 360 divisors, whose sum is σ = 211194910080. Its totient is φ = 14164512768.

The previous prime is 56069832911. The next prime is 56069832977. The reversal of 56069832960 is 6923896065.

56069832960 is a `hidden beast` number, since 5 + 606 + 9 + 8 + 3 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56069832897 and 56069832906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1955689 + ... + 1984151.

It is an arithmetic number, because the mean of its divisors is an integer number (586652528).

Almost surely, 2^56069832960 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 56069832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105597455040).

56069832960 is an abundant number, since it is smaller than the sum of its proper divisors (155125077120).

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

56069832960 is a wasteful number, since it uses less digits than its factorization.

56069832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28515 (or 28492 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 56069832960 in words is "fifty-six billion, sixty-nine million, eight hundred thirty-two thousand, nine hundred sixty".