30010850542656 has 567 divisors, whose sum is σ = 94842850206351. Its totient is φ = 9070873878528.

The previous prime is 30010850542499. The next prime is 30010850542661. The reversal of 30010850542656 is 65624505801003.

The square root of 30010850542656 is 5478216.

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

30010850542656 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 0 + 8 + 50 + 542 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2966523969600 + 27044326573056 = 1722360^2 + 5200416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64818251481 + ... + 64818251943.

Almost surely, 2^{30010850542656} is an apocalyptic number.

30010850542656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30010850542656 is the 5478216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010850542656

30010850542656 is an abundant number, since it is smaller than the sum of its proper divisors (64831999663695).

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

30010850542656 is an equidigital number, since it uses as much as digits as its factorization.

30010850542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 30010850542656 in words is "thirty trillion, ten billion, eight hundred fifty million, five hundred forty-two thousand, six hundred fifty-six".