30566081395600 has 135 divisors (see below), whose sum is σ = 73715810832049. Its totient is φ = 12179859126400.

The previous prime is 30566081395537. The next prime is 30566081395607. The reversal of 30566081395600 is 659318066503.

The square root of 30566081395600 is 5528660.

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., 11003789302416 + 19562292093184 = 3317196^2 + 4422928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30566081395607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54291440919 + ... + 54291441481.

Almost surely, 2^{30566081395600} is an apocalyptic number.

30566081395600 is the 5528660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30566081395600

30566081395600 is an abundant number, since it is smaller than the sum of its proper divisors (43149729436449).

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

30566081395600 is an frugal number, since it uses more digits than its factorization.

30566081395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 30566081395600 in words is "thirty trillion, five hundred sixty-six billion, eighty-one million, three hundred ninety-five thousand, six hundred".