5561666672900 has 36 divisors (see below), whose sum is σ = 12997187197092. Its totient is φ = 2053538463360.

The previous prime is 5561666672893. The next prime is 5561666672927. The reversal of 5561666672900 is 92766661655.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 671403249664 + 4890263423236 = 819392^2 + 2211394^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5561666672900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2139101267 + ... + 2139103866.

It is an arithmetic number, because the mean of its divisors is an integer number (361032977697).

Almost surely, 2^{5561666672900} is an apocalyptic number.

5561666672900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5561666672900 is an abundant number, since it is smaller than the sum of its proper divisors (7435520524192).

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

5561666672900 is a wasteful number, since it uses less digits than its factorization.

5561666672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278205160 (or 4278205153 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 59.

The spelling of 5561666672900 in words is "five trillion, five hundred sixty-one billion, six hundred sixty-six million, six hundred seventy-two thousand, nine hundred".