30552990930576 has 225 divisors, whose sum is σ = 90160298365291. Its totient is φ = 9988723989504.

The previous prime is 30552990930439. The next prime is 30552990930589. The reversal of 30552990930576 is 67503909925503.

The square root of 30552990930576 is 5527476.

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

30552990930576 is a `hidden beast` number, since 3 + 0 + 5 + 5 + 29 + 9 + 0 + 9 + 30 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1369658264976 + 29183332665600 = 1170324^2 + 5402160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10546422760 + ... + 10546425656.

Almost surely, 2^{30552990930576} is an apocalyptic number.

30552990930576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30552990930576 is the 5527476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30552990930576

30552990930576 is an abundant number, since it is smaller than the sum of its proper divisors (59607307434715).

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

30552990930576 is an frugal number, since it uses more digits than its factorization.

30552990930576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 68890500, while the sum is 63.

The spelling of 30552990930576 in words is "thirty trillion, five hundred fifty-two billion, nine hundred ninety million, nine hundred thirty thousand, five hundred seventy-six".