56363575842 has 320 divisors, whose sum is σ = 156529739520. Its totient is φ = 14995411200.

The previous prime is 56363575831. The next prime is 56363575843. The reversal of 56363575842 is 24857536365.

56363575842 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 3 + 57 + 584 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56363575843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122263492 + ... + 122263952.

It is an arithmetic number, because the mean of its divisors is an integer number (489155436).

Almost surely, 2^56363575842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56363575842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78264869760).

56363575842 is an abundant number, since it is smaller than the sum of its proper divisors (100166163678).

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

56363575842 is a wasteful number, since it uses less digits than its factorization.

56363575842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 537 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 56363575842 in words is "fifty-six billion, three hundred sixty-three million, five hundred seventy-five thousand, eight hundred forty-two".