56282472960 has 640 divisors, whose sum is σ = 213430339584. Its totient is φ = 12386304000.

The previous prime is 56282472949. The next prime is 56282473063. The reversal of 56282472960 is 6927428265.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224232835 + ... + 224233085.

Almost surely, 2^56282472960 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 56282472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106715169792).

56282472960 is an abundant number, since it is smaller than the sum of its proper divisors (157147866624).

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

56282472960 is a wasteful number, since it uses less digits than its factorization.

56282472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 56282472960 in words is "fifty-six billion, two hundred eighty-two million, four hundred seventy-two thousand, nine hundred sixty".