56782218240 has 704 divisors, whose sum is σ = 223339818240. Its totient is φ = 13735526400.

The previous prime is 56782218223. The next prime is 56782218247. The reversal of 56782218240 is 4281228765.

56782218240 is a `hidden beast` number, since 567 + 8 + 2 + 2 + 1 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56782218247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123171610 + ... + 123172070.

It is an arithmetic number, because the mean of its divisors is an integer number (317244060).

Almost surely, 2^56782218240 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 56782218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111669909120).

56782218240 is an abundant number, since it is smaller than the sum of its proper divisors (166557600000).

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

56782218240 is an equidigital number, since it uses as much as digits as its factorization.

56782218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 56782218240 in words is "fifty-six billion, seven hundred eighty-two million, two hundred eighteen thousand, two hundred forty".