56566771200 has 300 divisors, whose sum is σ = 209361614880. Its totient is φ = 15084195840.

The previous prime is 56566771199. The next prime is 56566771207. The reversal of 56566771200 is 217766565.

56566771200 is a `hidden beast` number, since 5 + 6 + 566 + 77 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56566771207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1009521 + ... + 1064079.

Almost surely, 2^56566771200 is an apocalyptic number.

56566771200 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 56566771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104680807440).

56566771200 is an abundant number, since it is smaller than the sum of its proper divisors (152794843680).

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

56566771200 is an equidigital number, since it uses as much as digits as its factorization.

56566771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54599 (or 54569 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 56566771200 in words is "fifty-six billion, five hundred sixty-six million, seven hundred seventy-one thousand, two hundred".