56712648545280 has 2112 divisors, whose sum is σ = 255636109532160. Its totient is φ = 11964240691200.

The previous prime is 56712648545269. The next prime is 56712648545281. The reversal of 56712648545280 is 8254584621765.

It is a happy number.

56712648545280 is a `hidden beast` number, since 5 + 6 + 7 + 1 + 2 + 6 + 4 + 8 + 545 + 2 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56712648545281) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7132765305 + ... + 7132773255.

Almost surely, 2^{56712648545280} 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 56712648545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127818054766080).

56712648545280 is an abundant number, since it is smaller than the sum of its proper divisors (198923460986880).

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

56712648545280 is an equidigital number, since it uses as much as digits as its factorization.

56712648545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

It can be divided in two parts, 567126485 and 45280, that added together give a palindrome (567171765).

The spelling of 56712648545280 in words is "fifty-six trillion, seven hundred twelve billion, six hundred forty-eight million, five hundred forty-five thousand, two hundred eighty".