56894865730560 has 3168 divisors, whose sum is σ = 255884440960512. Its totient is φ = 11974512476160.

The previous prime is 56894865730519. The next prime is 56894865730607. The reversal of 56894865730560 is 6503756849865.

56894865730560 is a `hidden beast` number, since 5 + 6 + 8 + 9 + 4 + 8 + 6 + 57 + 3 + 0 + 560 = 666.

56894865730560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39319187757 + ... + 39319189203.

Almost surely, 2^{56894865730560} 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 56894865730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127942220480256).

56894865730560 is an abundant number, since it is smaller than the sum of its proper divisors (198989575229952).

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

56894865730560 is a wasteful number, since it uses less digits than its factorization.

56894865730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 56894865730560 in words is "fifty-six trillion, eight hundred ninety-four billion, eight hundred sixty-five million, seven hundred thirty thousand, five hundred sixty".