56365182813744 has 320 divisors, whose sum is σ = 185228304629760. Its totient is φ = 16075908000000.

The previous prime is 56365182813743. The next prime is 56365182813763. The reversal of 56365182813744 is 44731828156365.

56365182813744 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 5 + 182 + 81 + 374 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56365182813743) 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 63 ways as a sum of consecutive naturals, for example, 7564777219 + ... + 7564784669.

It is an arithmetic number, because the mean of its divisors is an integer number (578838451968).

Almost surely, 2^{56365182813744} is an apocalyptic number.

56365182813744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56365182813744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92614152314880).

56365182813744 is an abundant number, since it is smaller than the sum of its proper divisors (128863121816016).

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

56365182813744 is a wasteful number, since it uses less digits than its factorization.

56365182813744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557 (or 11545 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 56365182813744 in words is "fifty-six trillion, three hundred sixty-five billion, one hundred eighty-two million, eight hundred thirteen thousand, seven hundred forty-four".