55568632900 has 81 divisors (see below), whose sum is σ = 132604548573. Its totient is φ = 20197346400.

The previous prime is 55568632897. The next prime is 55568632901. The reversal of 55568632900 is 923686555.

The square root of 55568632900 is 235730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20004707844 + 35563925056 = 141438^2 + 188584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55568632901) 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 26 ways as a sum of consecutive naturals, for example, 25929229 + ... + 25931371.

Almost surely, 2^55568632900 is an apocalyptic number.

55568632900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55568632900 is the 235730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55568632900

55568632900 is an abundant number, since it is smaller than the sum of its proper divisors (77035915673).

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

55568632900 is a wasteful number, since it uses less digits than its factorization.

55568632900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 55568632900 by its sum of digits (49), we get a square (2722863012100 = 1650110²).

The spelling of 55568632900 in words is "fifty-five billion, five hundred sixty-eight million, six hundred thirty-two thousand, nine hundred".