5557656600 has 144 divisors (see below), whose sum is σ = 19119948120. Its totient is φ = 1445875200.

The previous prime is 5557656583. The next prime is 5557656607. The reversal of 5557656600 is 66567555.

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 (5557656607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 36147 + ... + 111453.

Almost surely, 2^5557656600 is an apocalyptic number.

5557656600 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 5557656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559974060).

5557656600 is an abundant number, since it is smaller than the sum of its proper divisors (13562291520).

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

5557656600 is a wasteful number, since it uses less digits than its factorization.

5557656600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75370 (or 75358 counting only the distinct ones).

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

The square root of 5557656600 is about 74549.6921522819. The cubic root of 5557656600 is about 1771.3208564527.

The spelling of 5557656600 in words is "five billion, five hundred fifty-seven million, six hundred fifty-six thousand, six hundred".