30405960505600 has 81 divisors (see below), whose sum is σ = 75260595071137. Its totient is φ = 12162207749120.

The previous prime is 30405960505549. The next prime is 30405960505601. The reversal of 30405960505600 is 650506950403.

The square root of 30405960505600 is 5514160.

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., 10946145782016 + 19459814723584 = 3308496^2 + 4411328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30405960505601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 441098337 + ... + 441167263.

Almost surely, 2^{30405960505600} is an apocalyptic number.

30405960505600 is the 5514160-th square number.

It is an amenable number.

30405960505600 is an abundant number, since it is smaller than the sum of its proper divisors (44854634565537).

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

30405960505600 is an frugal number, since it uses more digits than its factorization.

30405960505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137880 (or 68934 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 43.

The spelling of 30405960505600 in words is "thirty trillion, four hundred five billion, nine hundred sixty million, five hundred five thousand, six hundred".