56782241337600 has 324 divisors, whose sum is σ = 203022469008996. Its totient is φ = 15140950917120.

The previous prime is 56782241337593. The next prime is 56782241337617. The reversal of 56782241337600 is 673314228765.

It is a happy number.

56782241337600 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 2 + 24 + 1 + 3 + 3 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 120370139136 + 56661871198464 = 346944^2 + 7527408^2 .

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 35 ways as a sum of consecutive naturals, for example, 1511232414 + ... + 1511269986.

Almost surely, 2^{56782241337600} is an apocalyptic number.

56782241337600 is a gapful number since it is divisible by the number (50) 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 56782241337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101511234504498).

56782241337600 is an abundant number, since it is smaller than the sum of its proper divisors (146240227671396).

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

56782241337600 is a wasteful number, since it uses less digits than its factorization.

56782241337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63842 (or 63820 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 56782241337600 in words is "fifty-six trillion, seven hundred eighty-two billion, two hundred forty-one million, three hundred thirty-seven thousand, six hundred".