55566705600 has 756 divisors, whose sum is σ = 233688760968. Its totient is φ = 12483072000.

The previous prime is 55566705599. The next prime is 55566705653. The reversal of 55566705600 is 650766555.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43040955 + ... + 43042245.

Almost surely, 2^55566705600 is an apocalyptic number.

55566705600 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 55566705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116844380484).

55566705600 is an abundant number, since it is smaller than the sum of its proper divisors (178122055368).

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

55566705600 is a wasteful number, since it uses less digits than its factorization.

55566705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 55566705600 in words is "fifty-five billion, five hundred sixty-six million, seven hundred five thousand, six hundred".