56785681800 has 240 divisors, whose sum is σ = 199263847860. Its totient is φ = 14986321920.

The previous prime is 56785681759. The next prime is 56785681807. The reversal of 56785681800 is 818658765.

56785681800 is a `hidden beast` number, since 5 + 6 + 78 + 568 + 1 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21748580676 + 35037101124 = 147474^2 + 187182^2 .

It is a super-2 number, since 2×56785681800² (a number of 22 digits) contains 22 as substring.

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 (56785681807) 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 59 ways as a sum of consecutive naturals, for example, 1553332 + ... + 1589468.

Almost surely, 2^56785681800 is an apocalyptic number.

56785681800 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 56785681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99631923930).

56785681800 is an abundant number, since it is smaller than the sum of its proper divisors (142478166060).

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

56785681800 is a wasteful number, since it uses less digits than its factorization.

56785681800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36262 (or 36244 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 56785681800 in words is "fifty-six billion, seven hundred eighty-five million, six hundred eighty-one thousand, eight hundred".