56066742144 has 384 divisors, whose sum is σ = 191870078400. Its totient is φ = 15375532032.

The previous prime is 56066742139. The next prime is 56066742167. The reversal of 56066742144 is 44124766065.

56066742144 is a `hidden beast` number, since 560 + 6 + 6 + 7 + 42 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 56066742144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46069024 + ... + 46070240.

Almost surely, 2^56066742144 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 56066742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95935039200).

56066742144 is an abundant number, since it is smaller than the sum of its proper divisors (135803336256).

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

56066742144 is a wasteful number, since it uses less digits than its factorization.

56066742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 56066742144 in words is "fifty-six billion, sixty-six million, seven hundred forty-two thousand, one hundred forty-four".